Geometry and braiding of Stokes data; Fission and wild character varieties

Abstract

A family of new algebraic Poisson varieties will be constructed, generalising the complex character varieties of Riemann surfaces. Then the well-known (Poisson) mapping class group actions on the character varieties will be generalised.

  • [ABM-purespinors] A. Alekseev, H. Bursztyn, and E. Meinrenken, "Pure spinors on Lie groups," in From Probability to Geometry I. Volume in honor of the 60th birthday of Jean-Michel Bismut, Dai, X., Léandre, R., Ma, X., and Zhang, W., Eds., , 2009, vol. 327, pp. 131-199.
    @incollection {ABM-purespinors, MRKEY = {2642360},
      AUTHOR = {Alekseev, A. and Bursztyn, H. and Meinrenken, E.},
      TITLE = {Pure spinors on {L}ie groups},
      BOOKTITLE={From Probability to Geometry I. Volume in honor of the 60th birthday of Jean-Michel Bismut},
      EDITOR={Dai, X. and Léandre, R. and Ma, X. and Zhang, W.},
      SERIES = {Astérisque},
      FJOURNAL = {Astérisque},
      VOLUME = {327},
      YEAR = {2009},
      PAGES = {131--199},
      ISSN = {0303-1179},
      ISBN = {978-2-85629-288-4},
      MRCLASS = {53D18 (53C27)},
      MRNUMBER = {2642360},
      MRREVIEWER = {Frederik Witt},
      ZBLNUMBER = {1251.53052},
      }
  • [AKM] Go to document A. Alekseev, Y. Kosmann-Schwarzbach, and E. Meinrenken, "Quasi-Poisson manifolds," Canad. J. Math., vol. 54, iss. 1, pp. 3-29, 2002.
    @article {AKM, MRKEY = {1880957},
      AUTHOR = {Alekseev, A. and Kosmann-Schwarzbach, Y. and Meinrenken, E.},
      TITLE = {Quasi-{P}oisson manifolds},
      JOURNAL = {Canad. J. Math.},
      FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de Mathématiques},
      VOLUME = {54},
      YEAR = {2002},
      NUMBER = {1},
      PAGES = {3--29},
      ISSN = {0008-414X},
      CODEN = {CJMAAB},
      MRCLASS = {53D17 (37J05 53D20)},
      MRNUMBER = {1880957},
      MRREVIEWER = {S{é}bastien Racani{è}re},
      DOI = {10.4153/CJM-2002-001-5},
      ZBLNUMBER = {1006.53072},
      }
  • [AMM] Go to document A. Alekseev, A. Malkin, and E. Meinrenken, "Lie group valued moment maps," J. Differential Geom., vol. 48, iss. 3, pp. 445-495, 1998.
    @article {AMM, MRKEY = {1638045},
      AUTHOR = {Alekseev, Anton and Malkin, Anton and Meinrenken, Eckhard},
      TITLE = {Lie group valued moment maps},
      JOURNAL = {J. Differential Geom.},
      FJOURNAL = {Journal of Differential Geometry},
      VOLUME = {48},
      YEAR = {1998},
      NUMBER = {3},
      PAGES = {445--495},
      ISSN = {0022-040X},
      CODEN = {JDGEAS},
      MRCLASS = {58F05 (55N91 57S25)},
      MRNUMBER = {1638045},
      MRREVIEWER = {Johannes Huebschmann},
      URL = {http://projecteuclid.org/euclid.jdg/1214460860},
      ZBLNUMBER = {0948.53045},
      }
  • [AB83] Go to document M. F. Atiyah and R. Bott, "The Yang-Mills equations over Riemann surfaces," Philos. Trans. Roy. Soc. London Ser. A, vol. 308, iss. 1505, pp. 523-615, 1983.
    @article {AB83, MRKEY = {0702806},
      AUTHOR = {Atiyah, M. F. and Bott, R.},
      TITLE = {The {Y}ang-{M}ills equations over {R}iemann surfaces},
      JOURNAL = {Philos. Trans. Roy. Soc. London Ser. A},
      FJOURNAL = {Philosophical Transactions of the Royal Society of London. Series A. Mathematical and Physical Sciences},
      VOLUME = {308},
      YEAR = {1983},
      NUMBER = {1505},
      PAGES = {523--615},
      ISSN = {0080-4614},
      CODEN = {PTRMAD},
      MRCLASS = {14F05 (14D22 32G13 32L05 53C05 58E05 58E20 81E13)},
      MRNUMBER = {0702806},
      MRREVIEWER = {Martin A. Guest},
      DOI = {10.1098/rsta.1983.0017},
      ZBLNUMBER = {0509.14014},
      }
  • [Aud95long] M. Audin, "Lectures on gauge theory and integrable systems," in Gauge Theory and Symplectic Geometry, Hurtubise, J. and Lalonde, F., Eds., Dordrecht: Kluwer Acad. Publ., 1997, vol. 488, pp. 1-48.
    @incollection{Aud95long,
      author={Audin, M.},
      TITLE={Lectures on gauge theory and integrable systems},
      BOOKTITLE={Gauge Theory and Symplectic Geometry},
      VENUE={Montreal, PQ, 1995},
      EDITOR={Hurtubise, J. and Lalonde, F.},
      SERIES={NATO ASI Series C: Math \& Phys.},
      VOLUME={488},
      PUBLISHER={Kluwer Acad. Publ.},
      ADDRESS={Dordrecht},
      YEAR={1997},
      MRNUMBER = {1461568},
      ZBLNUMBER = {0873.58016},
      PAGES = {1--48},
     }
  • [BV89] D. G. Babbitt and V. S. Varadarajan, Local Moduli for Meromorphic Differential Equations, Paris: Math. Soc. France, 1989, vol. 169-170.
    @book {BV89, MRKEY = {1014083},
      AUTHOR = {Babbitt, D. G. and Varadarajan, V. S.},
      TITLE = {Local Moduli for Meromorphic Differential Equations},
      SERIES = {Astérisque},
      FJOURNAL = {Astérisque},
      VOLUME = {169-170},
      ADDRESS={Paris},
      PUBLISHER={Math. Soc. France},
      YEAR = {1989},
      PAGES = {217},
      ISSN = {0303-1179},
      MRCLASS = {32G34 (14D05 34A20)},
      MRNUMBER = {1014083},
      MRREVIEWER = {V. A. Golubeva},
      ZBLNUMBER = {0683.34003},
      }
  • [BBRS91] W. Balser, B. L. J. Braaksma, J. -P. Ramis, and Y. Sibuya, "Multisummability of formal power series solutions of linear ordinary differential equations," Asymptotic Anal., vol. 5, iss. 1, pp. 27-45, 1991.
    @article {BBRS91, MRKEY = {1132079},
      AUTHOR = {Balser, W. and Braaksma, B. L. J. and Ramis, J.-P. and Sibuya, Y.},
      TITLE = {Multisummability of formal power series solutions of linear ordinary differential equations},
      JOURNAL = {Asymptotic Anal.},
      FJOURNAL = {Asymptotic Analysis},
      VOLUME = {5},
      YEAR = {1991},
      NUMBER = {1},
      PAGES = {27--45},
      ISSN = {0921-7134},
      CODEN = {ASANEZ},
      MRCLASS = {34A20 (34E05)},
      MRNUMBER = {1132079},
      MRREVIEWER = {Donald A. Lutz},
      ZBLNUMBER = {0754.34057},
      }
  • [BJL79] Go to document W. Balser, W. B. Jurkat, and D. A. Lutz, "Birkhoff invariants and Stokes’ multipliers for meromorphic linear differential equations," J. Math. Anal. Appl., vol. 71, iss. 1, pp. 48-94, 1979.
    @article {BJL79, MRKEY = {0545861},
      AUTHOR = {Balser, W. and Jurkat, W. B. and Lutz, D. A.},
      TITLE = {Birkhoff invariants and {S}tokes' multipliers for meromorphic linear differential equations},
      JOURNAL = {J. Math. Anal. Appl.},
      FJOURNAL = {Journal of Mathematical Analysis and Applications},
      VOLUME = {71},
      YEAR = {1979},
      NUMBER = {1},
      PAGES = {48--94},
      ISSN = {0022-247X},
      CODEN = {JMANAK},
      MRCLASS = {34A20},
      MRNUMBER = {0545861},
      MRREVIEWER = {Shlomo Strelitz},
      DOI = {10.1016/0022-247X(79)90217-8},
      }
  • [BJLproper] Go to document W. Balser, W. B. Jurkat, and D. A. Lutz, "A general theory of invariants for meromorphic differential equations. II. Proper invariants," Funkcial. Ekvac., vol. 22, iss. 3, pp. 257-283, 1979.
    @article {BJLproper, MRKEY = {0577846},
      AUTHOR = {Balser, W. and Jurkat, W. B. and Lutz, D. A.},
      TITLE = {A general theory of invariants for meromorphic differential equations. {II}. {P}roper invariants},
      JOURNAL = {Funkcial. Ekvac.},
      FJOURNAL = {Fako de l'Funkcialaj Ekvacioj Japana Matematika Societo. Funkcialaj Ekvaciog. Serio Internacia},
      VOLUME = {22},
      YEAR = {1979},
      NUMBER = {3},
      PAGES = {257--283},
      ISSN = {0532-8721},
      CODEN = {FESIAT},
      MRCLASS = {34A20},
      MRNUMBER = {0577846},
      MRREVIEWER = {G{ü}nter Frank},
      URL = {http://www.math.kobe-u.ac.jp/~fe/xml/mr0577846.xml},
      ZBLNUMBER = {0473.34028},
     }
  • [wnabh] Go to document O. Biquard and P. P. Boalch, "Wild non-abelian Hodge theory on curves," Compos. Math., vol. 140, iss. 1, pp. 179-204, 2004.
    @article {wnabh, MRKEY = {2004129},
      AUTHOR = {Biquard, Olivier and Boalch, Philip P.},
      TITLE = {Wild non-abelian {H}odge theory on curves},
      JOURNAL = {Compos. Math.},
      FJOURNAL = {Compositio Mathematica},
      VOLUME = {140},
      YEAR = {2004},
      NUMBER = {1},
      PAGES = {179--204},
      ISSN = {0010-437X},
      MRCLASS = {53C07 (32G34 34M55)},
      MRNUMBER = {2004129},
      MRREVIEWER = {Usha N. Bhosle},
      DOI = {10.1112/S0010437X03000010},
      ZBLNUMBER = {1051.53019},
      }
  • [cqv] P. P. Boalch, Global Weyl groups and a new theory of multiplicative quiver varieties, 2013.
    @misc{cqv,
      author = {Boalch, Philip P.},
      TITLE = {Global {W}eyl groups and a new theory of multiplicative quiver varieties},
      YEAR={2013},
      ARXIV={1307.1033},
     }
  • [smapg] Go to document P. P. Boalch, "Stokes matrices, Poisson Lie groups and Frobenius manifolds," Invent. Math., vol. 146, iss. 3, pp. 479-506, 2001.
    @article {smapg, MRKEY = {1869848},
      AUTHOR = {Boalch, Philip P.},
      TITLE = {Stokes matrices, {P}oisson {L}ie groups and {F}robenius manifolds},
      JOURNAL = {Invent. Math.},
      FJOURNAL = {Inventiones Mathematicae},
      VOLUME = {146},
      YEAR = {2001},
      NUMBER = {3},
      PAGES = {479--506},
      ISSN = {0020-9910},
      CODEN = {INVMBH},
      MRCLASS = {53D45 (34M55 53D30)},
      MRNUMBER = {1869848},
      MRREVIEWER = {Ian A. B. Strachan},
      DOI = {10.1007/s002220100170},
      ZBLNUMBER = {1044.53060},
      }
  • [smid] Go to document P. P. Boalch, "Symplectic manifolds and isomonodromic deformations," Adv. Math., vol. 163, iss. 2, pp. 137-205, 2001.
    @article {smid, MRKEY = {1864833},
      AUTHOR = {Boalch, Philip P.},
      TITLE = {Symplectic manifolds and isomonodromic deformations},
      JOURNAL = {Adv. Math.},
      FJOURNAL = {Advances in Mathematics},
      VOLUME = {163},
      YEAR = {2001},
      NUMBER = {2},
      PAGES = {137--205},
      ISSN = {0001-8708},
      CODEN = {ADMTA4},
      MRCLASS = {53D30 (14H60 34M55 37J35 53D20)},
      MRNUMBER = {1864833},
      MRREVIEWER = {Usha N. Bhosle},
      DOI = {10.1006/aima.2001.1998},
      ZBLNUMBER = {1001.53059},
      }
  • [bafi] Go to document P. P. Boalch, "$G$-bundles, isomonodromy, and quantum Weyl groups," Int. Math. Res. Not., vol. 2002, p. no. 22, 1129-1166.
    @article {bafi, MRKEY = {1904670},
      AUTHOR = {Boalch, Philip P.},
      TITLE = {{$G$}-bundles, isomonodromy, and quantum {W}eyl groups},
      JOURNAL = {Int. Math. Res. Not.},
      FJOURNAL = {International Mathematics Research Notices},
      VOLUME = {2002},
      PAGES = {no.~22, 1129--1166},
      ISSN = {1073-7928},
      MRCLASS = {32G34 (34M35 34M55)},
      MRNUMBER = {1904670},
      MRREVIEWER = {Usha N. Bhosle},
      DOI = {10.1155/S1073792802111081},
      ZBLNUMBER = {1003.58028},
      SORTYEAR={2002},
     }
  • [k2p] Go to document P. P. Boalch, "From Klein to Painlevé via Fourier, Laplace and Jimbo," Proc. London Math. Soc., vol. 90, iss. 1, pp. 167-208, 2005.
    @article {k2p, MRKEY = {2107041},
      AUTHOR = {Boalch, Philip P.},
      TITLE = {From {K}lein to {P}ainlevé via {F}ourier, {L}aplace and {J}imbo},
      JOURNAL = {Proc. London Math. Soc.},
      FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
      VOLUME = {90},
      YEAR = {2005},
      NUMBER = {1},
      PAGES = {167--208},
      ISSN = {0024-6115},
      CODEN = {PLMTAL},
      MRCLASS = {34M55 (20F55 30F40 34M40)},
      MRNUMBER = {2107041},
      MRREVIEWER = {Andrei A. Kapaev},
      DOI = {10.1112/S0024611504015011},
      ZBLNUMBER = {1070.34123},
      }
  • [saqh] Go to document P. P. Boalch, "Quasi-Hamiltonian geometry of meromorphic connections," Duke Math. J., vol. 139, iss. 2, pp. 369-405, 2007.
    @article {saqh, MRKEY = {2352135},
      AUTHOR = {Boalch, Philip P.},
      TITLE = {Quasi-{H}amiltonian geometry of meromorphic connections},
      JOURNAL = {Duke Math. J.},
      FJOURNAL = {Duke Mathematical Journal},
      VOLUME = {139},
      YEAR = {2007},
      NUMBER = {2},
      PAGES = {369--405},
      ISSN = {0012-7094},
      CODEN = {DUMJAO},
      MRCLASS = {53D30 (20F36 20F65 34M40)},
      MRNUMBER = {2352135},
      MRREVIEWER = {Andrei A. Kapaev},
      DOI = {10.1215/S0012-7094-07-13924-3},
      ZBLNUMBER = {1126.53055},
      NOTE={(Beware section 6 of the published version is not in the 2002 arXiv version)},
      }
  • [iastalk07-nom] P. P. Boalch, Some geometry of irregular connections on curves, 2007.
    @misc{iastalk07-nom,
      author={Boalch, Philip P.},
      TITLE = {Some geometry of irregular connections on curves},
      NOTE={Talk at Workshop on Gauge Theory and Representation Theory, IAS Princeton, transparencies available on author's webpage},
      YEAR={2007},
     }
  • [rsode] P. P. Boalch, Irregular connections and Kac–Moody root systems, 2008.
    @misc{rsode,
      author={Boalch, Philip P.},
      TITLE = {Irregular connections and {K}ac--{M}oody root systems},
      YEAR={2008},
      ARXIV={0806.1050},
     }
  • [fission] Go to document P. P. Boalch, "Through the analytic halo: Fission via irregular singularities," Ann. Inst. Fourier $($Grenoble$)$, vol. 59, iss. 7, pp. 2669-2684, 2009.
    @article {fission, MRKEY = {2649336},
      AUTHOR = {Boalch, Philip P.},
      TITLE = {Through the analytic halo: {F}ission via irregular singularities},
      JOURNAL = {Ann. Inst. Fourier $($Grenoble$)$},
      FJOURNAL = {Université de Grenoble. Annales de l'Institut Fourier},
      VOLUME = {59},
      YEAR = {2009},
      NUMBER = {7},
      PAGES = {2669--2684},
      ISSN = {0373-0956},
      CODEN = {AIFUA7},
      MRCLASS = {53D30 (34M40)},
      MRNUMBER = {2649336},
      MRREVIEWER = {Andrei A. Kapaev},
      DOI = {10.5802/aif.2503},
      ZBLNUMBER = {1206.53086},
      }
  • [logahoric] Go to document P. P. Boalch, "Riemann-Hilbert for tame complex parahoric connections," Transform. Groups, vol. 16, iss. 1, pp. 27-50, 2011.
    @article {logahoric, MRKEY = {2785493},
      AUTHOR = {Boalch, Philip P.},
      TITLE = {Riemann-{H}ilbert for tame complex parahoric connections},
      JOURNAL = {Transform. Groups},
      FJOURNAL = {Transformation Groups},
      VOLUME = {16},
      YEAR = {2011},
      NUMBER = {1},
      PAGES = {27--50},
      ISSN = {1083-4362},
      MRCLASS = {14D20 (14L30 32G08 34M50)},
      MRNUMBER = {2785493},
      MRREVIEWER = {Andrei A. Kapaev},
      DOI = {10.1007/s00031-011-9121-1},
      ZBLNUMBER = {1232.34117},
      }
  • [slims] Go to document P. P. Boalch, "Simply-laced isomonodromy systems," Publ. Math. I.H.E.S., vol. 116, pp. 1-68, 2012.
    @article{slims,
      author={Boalch, Philip P.},
      TITLE={Simply-laced isomonodromy systems},
      JOURNAL={Publ. Math. I.H.E.S.},
      VOLUME={116},
      YEAR={2012},
      PAGES={1--68},
      ZBLNUMBER = {06120990},
      URL = {http://link.springer.com/article/10.1007/s10240-012-0044-8},
     }
  • [bondal-gpoid.braids] Go to document A. I. Bondal, "A symplectic groupoid of triangular bilinear forms and the braid group," Izv. Ross. Akad. Nauk Ser. Mat., vol. 68, iss. 4, pp. 19-74, 2004.
    @article {bondal-gpoid.braids, MRKEY = {2084561},
      AUTHOR = {Bondal, A. I.},
      TITLE = {A symplectic groupoid of triangular bilinear forms and the braid group},
      JOURNAL = {Izv. Ross. Akad. Nauk Ser. Mat.},
      FJOURNAL = {Rossiĭskaya Akademiya Nauk. Izvestiya. Seriya Matematicheskaya},
      VOLUME = {68},
      YEAR = {2004},
      NUMBER = {4},
      PAGES = {19--74},
      ISSN = {0373-2436},
      MRCLASS = {20L05 (14L35 18E30 58H05)},
      MRNUMBER = {2084561},
      MRREVIEWER = {Dmitriy A. Rumynin},
      DOI = {10.1070/IM2004v068n04ABEH000495},
      ZBLNUMBER = {1084.58502},
      }
  • [Bor91] Go to document A. Borel, Linear Algebraic Groups, Second ed., New York: Springer-Verlag, 1991, vol. 126.
    @book {Bor91, MRKEY = {1102012},
      AUTHOR = {Borel, Armand},
      TITLE = {Linear Algebraic Groups},
      SERIES = {Grad. Texts in Math.},
      VOLUME = {126},
      EDITION = {Second},
      PUBLISHER = {Springer-Verlag},
      ADDRESS = {New York},
      YEAR = {1991},
      PAGES = {xii+288},
      ISBN = {0-387-97370-2},
      MRCLASS = {20-01 (20Gxx)},
      MRNUMBER = {1102012},
      MRREVIEWER = {F. D. Veldkamp},
      DOI = {10.1007/978-1-4612-0941-6},
      ZBLNUMBER = {0726.20030},
      }
  • [bdm-disk] L. Boutet de Monvel, "$\mathcal{D}$-modules holonômes réguliers en une variable," in Mathematics and Physics, Boston, MA: Birkhäuser, 1983, vol. 37, pp. 313-321.
    @incollection {bdm-disk, MRKEY = {0728427},
      AUTHOR = {{Boutet de Monvel},
      L.},
      TITLE = {{$\mathcal{D}$}-modules holonômes réguliers en une variable},
      BOOKTITLE = {Mathematics and Physics},
      VENUE={{P}aris, 1979/1982},
      SERIES = {Progr. Math.},
      VOLUME = {37},
      PAGES = {313--321},
      PUBLISHER = {Birkhäuser},
      ADDRESS = {Boston, MA},
      YEAR = {1983},
      MRCLASS = {32C38 (34A60 58G07)},
      MRNUMBER = {0728427},
      MRREVIEWER = {J.-L. Lieutenant},
      ZBLNUMBER = {0578.35080},
      }
  • [cas-slod] Go to document H. Cassens and P. Slodowy, "On Kleinian singularities and quivers," in Singularities, Basel: Birkhäuser, 1998, vol. 162, pp. 263-288.
    @incollection {cas-slod, MRKEY = {1652478},
      AUTHOR = {Cassens, Heiko and Slodowy, Peter},
      TITLE = {On {K}leinian singularities and quivers},
      BOOKTITLE = {Singularities},
      VENUE={{O}berwolfach, 1996},
      SERIES = {Progr. Math.},
      VOLUME = {162},
      PAGES = {263--288},
      PUBLISHER = {Birkhäuser},
      ADDRESS = {Basel},
      YEAR = {1998},
      MRCLASS = {14B05 (14E15)},
      MRNUMBER = {1652478},
      MRREVIEWER = {A. Sinan Sert{ö}z},
      ZBLNUMBER = {0957.14004},
      DOI = {10.1007/978-3-0348-8770-0_14},
     }
  • [cec-vafa-nequals2classn] Go to document S. Cecotti and C. Vafa, "On classification of $N=2$ supersymmetric theories," Comm. Math. Phys., vol. 158, iss. 3, pp. 569-644, 1993.
    @article {cec-vafa-nequals2classn, MRKEY = {1255428},
      AUTHOR = {Cecotti, Sergio and Vafa, Cumrun},
      TITLE = {On classification of {$N=2$} supersymmetric theories},
      JOURNAL = {Comm. Math. Phys.},
      FJOURNAL = {Communications in Mathematical Physics},
      VOLUME = {158},
      YEAR = {1993},
      NUMBER = {3},
      PAGES = {569--644},
      ISSN = {0010-3616},
      CODEN = {CMPHAY},
      MRCLASS = {81T60 (32G81 53C55 81T70)},
      MRNUMBER = {1255428},
      MRREVIEWER = {Stanislav Z. Pakuliak},
      DOI = {10.1007/BF02096804},
      ZBLNUMBER = {0787.58049},
      }
  • [CB-Shaw] Go to document W. Crawley-Boevey and P. Shaw, "Multiplicative preprojective algebras, middle convolution and the Deligne-Simpson problem," Adv. Math., vol. 201, iss. 1, pp. 180-208, 2006.
    @article {CB-Shaw, MRKEY = {2204754},
      AUTHOR = {Crawley-Boevey, William and Shaw, Peter},
      TITLE = {Multiplicative preprojective algebras, middle convolution and the {D}eligne-{S}impson problem},
      JOURNAL = {Adv. Math.},
      FJOURNAL = {Advances in Mathematics},
      VOLUME = {201},
      YEAR = {2006},
      NUMBER = {1},
      PAGES = {180--208},
      ISSN = {0001-8708},
      CODEN = {ADMTA4},
      MRCLASS = {16G20 (15A24)},
      MRNUMBER = {2204754},
      MRREVIEWER = {Patrick Le Meur},
      DOI = {10.1016/j.aim.2005.02.003},
      ZBLNUMBER = {1095.15014},
      }
  • [DKP] Go to document C. De Concini, V. G. Kac, and C. Procesi, "Quantum coadjoint action," J. Amer. Math. Soc., vol. 5, iss. 1, pp. 151-189, 1992.
    @article {DKP, MRKEY = {1124981},
      AUTHOR = {De Concini, C. and Kac, V. G. and Procesi, C.},
      TITLE = {Quantum coadjoint action},
      JOURNAL = {J. Amer. Math. Soc.},
      FJOURNAL = {Journal of the American Mathematical Society},
      VOLUME = {5},
      YEAR = {1992},
      NUMBER = {1},
      PAGES = {151--189},
      ISSN = {0894-0347},
      MRCLASS = {17B37 (16W30 58F06 81R50)},
      MRNUMBER = {1124981},
      MRREVIEWER = {Jie Du},
      DOI = {10.2307/2152754},
      ZBLNUMBER = {0747.17018},
      }
  • [Del70] Go to document P. Deligne, Équations Différentielles à Points Singuliers Réguliers, New York: Springer-Verlag, 1970, vol. 163.
    @book {Del70, MRKEY = {0417174},
      AUTHOR = {Deligne, Pierre},
      TITLE = {\'{E}quations Différentielles à Points Singuliers Réguliers},
      SERIES = {Lecture Notes in Math},
      VOLUME={163},
      PUBLISHER = {Springer-Verlag},
      ADDRESS = {New York},
      YEAR = {1970},
      PAGES = {iii+133},
      MRCLASS = {14D05 (14C30)},
      MRNUMBER = {0417174},
      MRREVIEWER = {Helmut Hamm},
      ZBLNUMBER = {0244.14004},
      DOI = {10.1007/BFb0061194},
     }
  • [DMR-ci] P. Deligne, B. Malgrange, and J. Ramis, Singularités Irrégulières, Paris: Soc. Math. France, 2007, vol. 5.
    @book {DMR-ci, MRKEY = {2387754},
      AUTHOR = {Deligne, Pierre and Malgrange, Bernard and Ramis, Jean-Pierre},
      TITLE = {Singularités Irrégulières},
      SERIES = {Doc. Math. (Paris)},
      VOLUME={5},
      PUBLISHER = {Soc. Math. France},
      ADDRESS = {Paris},
      YEAR = {2007},
      PAGES = {xii+188},
      ISBN = {978-2-85629-241-9},
      MRCLASS = {32S40 (01A60 34-06 34M35 34M40)},
      MRNUMBER = {2387754},
      MRREVIEWER = {Jan Stevens},
      ZBLNUMBER = {1130.14001},
      }
  • [drezet-slices] J. Drézet, "Luna’s slice theorem and applications," in Algebraic Group Actions and Quotients, Hindawi Publ. Corp., Cairo, 2004, pp. 39-89.
    @incollection {drezet-slices, MRKEY = {2210794},
      AUTHOR = {Dr{é}zet, Jean-Marc},
      TITLE = {Luna's slice theorem and applications},
      BOOKTITLE = {Algebraic Group Actions and Quotients},
      PAGES = {39--89},
      PUBLISHER = {Hindawi Publ. Corp., Cairo},
      YEAR = {2004},
      MRCLASS = {14L30 (14L24)},
      MRNUMBER = {2210794},
      MRREVIEWER = {Lucy Moser-Jauslin},
      ZBLNUMBER = {1109.14307},
      }
  • [Dub95long] Go to document B. Dubrovin, "Geometry of $2$D topological field theories," in Integrable Systems and Quantum Groups, New York: Springer-Verlag, 1996, vol. 1620, pp. 120-348.
    @incollection {Dub95long, MRKEY = {1397274},
      AUTHOR = {Dubrovin, Boris},
      TITLE = {Geometry of {$2$}{D} topological field theories},
      BOOKTITLE = {Integrable Systems and Quantum Groups},
      VENUE={{M}ontecatini {T}erme, 1993},
      SERIES = {Lecture Notes in Math.},
      VOLUME = {1620},
      PAGES = {120--348},
      PUBLISHER = {Springer-Verlag},
      ADDRESS = {New York},
      YEAR = {1996},
      MRCLASS = {58D29 (14N10 20F55 32G34 58F07 81T40)},
      MRNUMBER = {1397274},
      MRREVIEWER = {N. J. Hitchin},
      DOI = {10.1007/BFb0094793},
      ZBLNUMBER = {0841.58065},
      }
  • [FN82] Go to document H. Flaschka and A. C. Newell, "The inverse monodromy transform is a canonical transformation," in Nonlinear Problems: Present and Future, Amsterdam: North-Holland, 1982, vol. 61, pp. 65-89.
    @incollection {FN82, MRKEY = {0675628},
      AUTHOR = {Flaschka, H. and Newell, A. C.},
      TITLE = {The inverse monodromy transform is a canonical transformation},
      BOOKTITLE = {Nonlinear Problems: Present and Future},
      VENUE={{L}os {A}lamos, {N}.{M}., 1981},
      SERIES = {North-Holland Math. Stud.},
      VOLUME = {61},
      PAGES = {65--89},
      PUBLISHER = {North-Holland},
      ADDRESS = {Amsterdam},
      YEAR = {1982},
      MRCLASS = {58F07 (35Q20)},
      MRNUMBER = {0675628},
      MRREVIEWER = {D. ter Haar},
      ZBLNUMBER = {0555.35107},
      DOI = {10.1016/S0304-0208(08)71041-7},
     }
  • [gmv-duke] Go to document S. Gelfand, R. MacPherson, and K. Vilonen, "Perverse sheaves and quivers," Duke Math. J., vol. 83, iss. 3, pp. 621-643, 1996.
    @article {gmv-duke, MRKEY = {1390658},
      AUTHOR = {Gelfand, Sergei and MacPherson, Robert and Vilonen, Kari},
      TITLE = {Perverse sheaves and quivers},
      JOURNAL = {Duke Math. J.},
      FJOURNAL = {Duke Mathematical Journal},
      VOLUME = {83},
      YEAR = {1996},
      NUMBER = {3},
      PAGES = {621--643},
      ISSN = {0012-7094},
      CODEN = {DUMJAO},
      MRCLASS = {14F32 (32S60)},
      MRNUMBER = {1390658},
      MRREVIEWER = {Alexander E. Polishchuk},
      DOI = {10.1215/S0012-7094-96-08319-2},
      ZBLNUMBER = {0861.32022},
      }
  • [Gol84] Go to document W. M. Goldman, "The symplectic nature of fundamental groups of surfaces," Adv. in Math., vol. 54, iss. 2, pp. 200-225, 1984.
    @article {Gol84, MRKEY = {0762512},
      AUTHOR = {Goldman, William M.},
      TITLE = {The symplectic nature of fundamental groups of surfaces},
      JOURNAL = {Adv. in Math.},
      FJOURNAL = {Advances in Mathematics},
      VOLUME = {54},
      YEAR = {1984},
      NUMBER = {2},
      PAGES = {200--225},
      ISSN = {0001-8708},
      CODEN = {ADMTA4},
      MRCLASS = {32G15 (57M05)},
      MRNUMBER = {0762512},
      MRREVIEWER = {C. Earle},
      DOI = {10.1016/0001-8708(84)90040-9},
      ZBLNUMBER = {0574.32032},
      }
  • [gunning-lovb] R. C. Gunning, Lectures on Vector Bundles over Riemann Surfaces, Princeton, NJ: Princeton Univ. Press, 1967.
    @book {gunning-lovb, MRKEY = {0230326},
      AUTHOR = {Gunning, R. C.},
      TITLE = {Lectures on Vector Bundles over {R}iemann Surfaces},
      PUBLISHER = {Princeton Univ. Press},
      SERIES = {Math. Notes},
      ADDRESS = {Princeton, NJ},
      YEAR = {1967},
      PAGES = {v+243},
      MRCLASS = {57.30 (30.00)},
      MRNUMBER = {0230326},
      MRREVIEWER = {W. Kaup},
      ZBLNUMBER = {0163.31903},
      }
  • [Hit-sde] Go to document N. J. Hitchin, "The self-duality equations on a Riemann surface," Proc. London Math. Soc., vol. 55, iss. 1, pp. 59-126, 1987.
    @article {Hit-sde, MRKEY = {0887284},
      AUTHOR = {Hitchin, N. J.},
      TITLE = {The self-duality equations on a {R}iemann surface},
      JOURNAL = {Proc. London Math. Soc.},
      FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
      VOLUME = {55},
      YEAR = {1987},
      NUMBER = {1},
      PAGES = {59--126},
      ISSN = {0024-6115},
      CODEN = {PLMTAL},
      MRCLASS = {32G13 (14F05 14H15 32L10 53C05 58E99 81E13)},
      MRNUMBER = {0887284},
      MRREVIEWER = {Mitsuhiro Itoh},
      DOI = {10.1112/plms/s3-55.1.59},
      ZBLNUMBER = {0634.53045},
      }
  • [Hit95long] Go to document N. J. Hitchin, "Frobenius manifolds," in Gauge Theory and Symplectic Geometry, Hurtubise, J. and Lalonde, F., Eds., Dordrecht: Kluwer Acad., Publ., 1997, vol. 488.
    @incollection{Hit95long,
      author = {Hitchin, N. J.},
      TITLE = {Frobenius manifolds},
      BOOKTITLE={Gauge Theory and Symplectic Geometry},
      EDITOR={Hurtubise, J. and Lalonde, F.},
      SERIES={NATO ASI Series C: Math \& Phys.},
      VOLUME={488},
      PUBLISHER = {Kluwer Acad., Publ.},
      ADDRESS = {Dordrecht},
      YEAR = {1997},
      MRNUMBER = {1461570},
      ZBLNUMBER = {0867.53027},
      DOI = {10.1007/978-94-017-1667-3_3},
     }
  • [JMU81] Go to document M. Jimbo, T. Miwa, and K. Ueno, "Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I. General theory and $\tau $-function," Phys. D, vol. 2, iss. 2, pp. 306-352, 1981.
    @article {JMU81, MRKEY = {0630674},
      AUTHOR = {Jimbo, Michio and Miwa, Tetsuji and Ueno, Kimio},
      TITLE = {Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. {I}. {G}eneral theory and {$\tau $}-function},
      JOURNAL = {Phys. D},
      FJOURNAL = {Physica D. Nonlinear Phenomena},
      VOLUME = {2},
      YEAR = {1981},
      NUMBER = {2},
      PAGES = {306--352},
      ISSN = {0167-2789},
      CODEN = {FDNPDT},
      MRCLASS = {34A20 (14K25 58A15 58F07 81C05)},
      MRNUMBER = {0630674},
      MRREVIEWER = {V. A. Golubeva},
      DOI = {10.1016/0167-2789(81)90013-0},
      ZBLNUMBER = {1194.34167},
     }
  • [johnson-millson] D. Johnson and J. J. Millson, "Deformation spaces associated to compact hyperbolic manifolds," in Discrete Groups in Geometry and Analysis, Boston, MA: Birkhäuser, 1987, vol. 67, pp. 48-106.
    @incollection {johnson-millson, MRKEY = {0900823},
      AUTHOR = {Johnson, Dennis and Millson, John J.},
      TITLE = {Deformation spaces associated to compact hyperbolic manifolds},
      BOOKTITLE = {Discrete Groups in Geometry and Analysis},
      VENUE={{N}ew {H}aven, {C}onn., 1984},
      SERIES = {Progr. Math.},
      VOLUME = {67},
      PAGES = {48--106},
      PUBLISHER = {Birkhäuser},
      ADDRESS = {Boston, MA},
      YEAR = {1987},
      MRCLASS = {22E40 (22E41 32G13 32M15)},
      MRNUMBER = {0900823},
      MRREVIEWER = {T. N. Venkataramana},
      ZBLNUMBER = {0664.53023},
      }
  • [jurkat78] Go to document W. B. Jurkat, Meromorphe Differentialgleichungen, New York: Springer-Verlag, 1978, vol. 637.
    @book {jurkat78, MRKEY = {0494886},
      AUTHOR = {Jurkat, W. B.},
      TITLE = {Meromorphe {D}ifferentialgleichungen},
      SERIES = {Lecture Notes in Math.},
      VOLUME = {637},
      PUBLISHER = {Springer-Verlag},
      ADDRESS = {New York},
      YEAR = {1978},
      PAGES = {vii+194},
      ISBN = {3-540-08659-5},
      MRCLASS = {34A20 (34-02)},
      MRNUMBER = {0494886},
      MRREVIEWER = {G{ü}nter Frank},
      ZBLNUMBER = {0408.34004},
      DOI = {10.1007/BFb0068236},
     }
  • [kazlus88] Go to document D. Kazhdan and G. Lusztig, "Fixed point varieties on affine flag manifolds," Israel J. Math., vol. 62, iss. 2, pp. 129-168, 1988.
    @article {kazlus88, MRKEY = {0947819},
      AUTHOR = {Kazhdan, D. and Lusztig, G.},
      TITLE = {Fixed point varieties on affine flag manifolds},
      JOURNAL = {Israel J. Math.},
      FJOURNAL = {Israel Journal of Mathematics},
      VOLUME = {62},
      YEAR = {1988},
      NUMBER = {2},
      PAGES = {129--168},
      ISSN = {0021-2172},
      CODEN = {ISJMAP},
      MRCLASS = {14L30 (20G25 32M10)},
      MRNUMBER = {0947819},
      MRREVIEWER = {Dennis Snow},
      DOI = {10.1007/BF02787119},
      ZBLNUMBER = {0658.22005},
      }
  • [king-quivers] Go to document A. D. King, "Moduli of representations of finite-dimensional algebras," Quart. J. Math. Oxford Ser., vol. 45, iss. 180, pp. 515-530, 1994.
    @article {king-quivers, MRKEY = {1315461},
      AUTHOR = {King, A. D.},
      TITLE = {Moduli of representations of finite-dimensional algebras},
      JOURNAL = {Quart. J. Math. Oxford Ser.},
      FJOURNAL = {The Quarterly Journal of Mathematics. Oxford. Second Series},
      VOLUME = {45},
      YEAR = {1994},
      NUMBER = {180},
      PAGES = {515--530},
      ISSN = {0033-5606},
      CODEN = {QJMAAT},
      MRCLASS = {16G10 (14D25)},
      MRNUMBER = {1315461},
      DOI = {10.1093/qmath/45.4.515},
      ZBLNUMBER = {0837.16005},
      }
  • [kostov-nfDSp] Go to document V. P. Kostov, "Additive Deligne-Simpson problem for non-Fuchsian systems," Funkcial. Ekvac., vol. 53, iss. 3, pp. 395-410, 2010.
    @article {kostov-nfDSp, MRKEY = {2761090},
      AUTHOR = {Kostov, Vladimir P.},
      TITLE = {Additive {D}eligne-{S}impson problem for non-{F}uchsian systems},
      JOURNAL = {Funkcial. Ekvac.},
      FJOURNAL = {Funkcialaj Ekvacioj. Serio Internacia},
      VOLUME = {53},
      YEAR = {2010},
      NUMBER = {3},
      PAGES = {395--410},
      ISSN = {0532-8721},
      CODEN = {FESIAT},
      MRCLASS = {15A24 (34M35 34M50)},
      MRNUMBER = {2761090},
      MRREVIEWER = {Jorge A. Vargas},
      DOI = {10.1619/fesi.53.395},
      ZBLNUMBER = {1246.15018},
      }
  • [Krich-imds] Go to document I. Krichever, "Isomonodromy equations on algebraic curves, canonical transformations and Whitham equations," Mosc. Math. J., vol. 2, iss. 4, pp. 717-752, 806, 2002.
    @article {Krich-imds, MRKEY = {1986088},
      AUTHOR = {Krichever, I.},
      TITLE = {Isomonodromy equations on algebraic curves, canonical transformations and {W}hitham equations},
      JOURNAL = {Mosc. Math. J.},
      FJOURNAL = {Moscow Mathematical Journal},
      VOLUME = {2},
      YEAR = {2002},
      NUMBER = {4},
      PAGES = {717--752, 806},
      ISSN = {1609-3321},
      MRCLASS = {37K05 (14H70 34M55 37K20 37M20)},
      MRNUMBER = {1986088},
      MRREVIEWER = {Henrik Aratyn},
      ZBLNUMBER = {1044.70010},
      URL = {http://www.ams.org/distribution/mmj/vol2-4-2002/krichever.pdf},
     }
  • [L-R94] Go to document M. Loday-Richaud, "Stokes phenomenon, multisummability and differential Galois groups," Ann. Inst. Fourier $($Grenoble$)$, vol. 44, iss. 3, pp. 849-906, 1994.
    @article {L-R94, MRKEY = {1303886},
      AUTHOR = {Loday-Richaud, Mich{è}le},
      TITLE = {Stokes phenomenon, multisummability and differential {G}alois groups},
      JOURNAL = {Ann. Inst. Fourier $($Grenoble$)$},
      FJOURNAL = {Université de Grenoble. Annales de l'Institut Fourier},
      VOLUME = {44},
      YEAR = {1994},
      NUMBER = {3},
      PAGES = {849--906},
      ISSN = {0373-0956},
      CODEN = {AIFUA7},
      MRCLASS = {34A20 (12H05 34A30 34E05)},
      MRNUMBER = {1303886},
      MRREVIEWER = {W. Balser},
      DOI = {10.5802/aif.1419},
      ZBLNUMBER = {0812.34004},
      }
  • [luna-slices] D. Luna, "Slices étales," in Sur les Groupes Algébriques, Paris: Société Mathématique de France, 1973, vol. 33, p. 105.
    @incollection{luna-slices, MRKEY = {0318167},
      AUTHOR={Luna, D.},
      TITLE={Slices étales},
      BOOKTITLE = {Sur les Groupes Algébriques},
      SERIES = {Bull. Soc. Math. France M{é}m.},
      VOLUME={33},
      PUBLISHER = {Société Mathématique de France},
      ADDRESS = {Paris},
      YEAR = {1973},
      PAGES = {105},
      MRCLASS = {14M15 (14L15)},
      MRNUMBER = {0318167},
      ZBLNUMBER = {0286.14014},
      }
  • [maisonobe-couple] P. Maisonobe, "Faisceaux pervers sur ${\bf C}$ relativement à $\{0\}$ et couple $u:E{\rightleftarrows}F:v$," in Introduction à la Théorie Algébrique des Systèmes Différentiels, Paris: Hermann, 1988, vol. 34, pp. 135-146.
    @incollection {maisonobe-couple, MRKEY = {1018867},
      AUTHOR = {Maisonobe, P.},
      TITLE = {Faisceaux pervers sur {${\bf C}$} relativement à {$\{0\}$} et couple {$u:E{\rightleftarrows}F:v$}},
      BOOKTITLE = {Introduction à la Théorie Algébrique des Systèmes Différentiels},
      VENUE={{P}lans-sur-{B}ex, 1984},
      SERIES = {Travaux en Cours},
      VOLUME = {34},
      PAGES = {135--146},
      PUBLISHER = {Hermann},
      ADDRESS = {Paris},
      YEAR = {1988},
      MRCLASS = {32C38},
      MRNUMBER = {1018867},
      MRREVIEWER = {Michael M. Kapranov},
      ZBLNUMBER = {0684.32009},
      }
  • [Mal79] Go to document B. Malgrange, "Remarques sur les équations différentielles à points singuliers irréguliers," in Équations différentielles et systèmes de Pfaff dans le champ complexe (Sem., Inst. Rech. Math. Avancée, Strasbourg, 1975), New York: Springer-Verlag, 1979, pp. 77-86.
    @incollection {Mal79, MRKEY = {0548145},
      AUTHOR = {Malgrange, B.},
      TITLE = {Remarques sur les équations différentielles à points singuliers irréguliers},
      BOOKTITLE = {\'{E}quations différentielles et systèmes de {P}faff dans le champ complexe ({S}em., {I}nst. {R}ech. {M}ath. {A}vancée, {S}trasbourg, 1975)},
      SERIES = {Lecture Notes in Math.},
      NUMBER = {712},
      PAGES = {77--86},
      PUBLISHER = {Springer-Verlag},
      ADDRESS = {New York},
      YEAR = {1979},
      MRCLASS = {14D05 (34A20 58A15)},
      MRNUMBER = {0548145},
      MRREVIEWER = {Antoinette Sec},
      ZBLNUMBER = {0423.32014},
      DOI = {10.1007/BFb0062817},
     }
  • [malg-book] B. Malgrange, Équations Différentielles à Coefficients Polynomiaux, Boston, MA: Birkhäuser, 1991, vol. 96.
    @book {malg-book, MRKEY = {1117227},
      AUTHOR = {Malgrange, B.},
      TITLE = {\'{E}quations Différentielles à Coefficients Polynomiaux},
      SERIES = {Progr. Math.},
      VOLUME = {96},
      PUBLISHER = {Birkhäuser},
      ADDRESS = {Boston, MA},
      YEAR = {1991},
      PAGES = {vi+232},
      ISBN = {0-8176-3556-4},
      MRCLASS = {32C38 (34A20 35A27)},
      MRNUMBER = {1117227},
      MRREVIEWER = {Luis Narv{á}ez Macarro},
      ZBLNUMBER = {0764.32001},
      }
  • [MR91] Go to document J. Martinet and J. Ramis, "Elementary acceleration and multisummability. I," Ann. Inst. H. Poincaré Phys. Théor., vol. 54, iss. 4, pp. 331-401, 1991.
    @article {MR91, MRKEY = {1128863},
      AUTHOR = {Martinet, Jean and Ramis, Jean-Pierre},
      TITLE = {Elementary acceleration and multisummability. {I}},
      JOURNAL = {Ann. Inst. H. Poincaré Phys. Théor.},
      FJOURNAL = {Annales de l'Institut Henri Poincaré. Physique Théorique},
      VOLUME = {54},
      YEAR = {1991},
      NUMBER = {4},
      PAGES = {331--401},
      ISSN = {0246-0211},
      CODEN = {AHPAAO},
      MRCLASS = {32G34 (12H05 14D05 32S40 34A20)},
      MRNUMBER = {1128863},
      MRREVIEWER = {J. S. Joel},
      URL = {http://www.numdam.org/item?id=AIHPA_1991__54_4_331_0},
      ZBLNUMBER = {0748.12005},
      }
  • [Nak] H. Nakajima, "Hyper-Kähler structures on moduli spaces of parabolic Higgs bundles on Riemann surfaces," in Moduli of Vector Bundles, New York: Dekker, 1996, pp. 199-208.
    @incollection {Nak, MRKEY = {1397988},
      AUTHOR = {Nakajima, Hiraku},
      TITLE = {Hyper-{K}ähler structures on moduli spaces of parabolic {H}iggs bundles on {R}iemann surfaces},
      BOOKTITLE = {Moduli of Vector Bundles},
      VENUE={{S}anda, 1994; {K}yoto, 1994},
      SERIES = {Lecture Notes in Pure Appl. Math.},
      NUMBER = {179},
      PAGES = {199--208},
      PUBLISHER = {Dekker},
      ADDRESS = {New York},
      YEAR = {1996},
      MRCLASS = {32G13 (14D20 53C25)},
      MRNUMBER = {1397988},
      MRREVIEWER = {Hans U. Boden},
      ZBLNUMBER = {0881.14006},
     }
  • [ramis-factn] J. Ramis, "Phénomène de Stokes et resommation," C. R. Acad. Sci. Paris Sér. I Math., vol. 301, iss. 4, pp. 99-102, 1985.
    @article {ramis-factn, MRKEY = {0799602},
      AUTHOR = {Ramis, Jean-Pierre},
      TITLE = {Phénomène de {S}tokes et resommation},
      JOURNAL = {C. R. Acad. Sci. Paris Sér. I Math.},
      FJOURNAL = {Comptes Rendus des Séances de l'Académie des Sciences. Série I. Mathématique},
      VOLUME = {301},
      YEAR = {1985},
      NUMBER = {4},
      PAGES = {99--102},
      ISSN = {0249-6291},
      CODEN = {CASMEI},
      MRCLASS = {12H05 (58G07)},
      MRNUMBER = {0799602},
      ZBLNUMBER = {0582.34006},
      }
  • [Richardson] Go to document R. W. Richardson, "Conjugacy classes of $n$-tuples in Lie algebras and algebraic groups," Duke Math. J., vol. 57, iss. 1, pp. 1-35, 1988.
    @article {Richardson, MRKEY = {0952224},
      AUTHOR = {Richardson, R. W.},
      TITLE = {Conjugacy classes of {$n$}-tuples in {L}ie algebras and algebraic groups},
      JOURNAL = {Duke Math. J.},
      FJOURNAL = {Duke Mathematical Journal},
      VOLUME = {57},
      YEAR = {1988},
      NUMBER = {1},
      PAGES = {1--35},
      ISSN = {0012-7094},
      CODEN = {DUMJAO},
      MRCLASS = {20G15 (14L30 17B45 22E46)},
      MRNUMBER = {0952224},
      MRREVIEWER = {Michel Brion},
      DOI = {10.1215/S0012-7094-88-05701-8},
      ZBLNUMBER = {0685.20035},
      }
  • [schilling-bakerfns] Go to document R. J. Schilling, "Baker functions for compact Riemann surfaces," Proc. Amer. Math. Soc., vol. 98, iss. 4, pp. 671-675, 1986.
    @article {schilling-bakerfns, MRKEY = {0861773},
      AUTHOR = {Schilling, R. J.},
      TITLE = {Baker functions for compact {R}iemann surfaces},
      JOURNAL = {Proc. Amer. Math. Soc.},
      FJOURNAL = {Proceedings of the American Mathematical Society},
      VOLUME = {98},
      YEAR = {1986},
      NUMBER = {4},
      PAGES = {671--675},
      ISSN = {0002-9939},
      CODEN = {PAMYAR},
      MRCLASS = {58F07 (14H40 14K25 58F19)},
      MRNUMBER = {0861773},
      MRREVIEWER = {Emma Previato},
      DOI = {10.2307/2045748},
      ZBLNUMBER = {0614.58022},
      }
  • [SW] Go to document G. Segal and G. Wilson, "Loop groups and equations of KdV type," Inst. Hautes Études Sci. Publ. Math., vol. 61, pp. 5-65, 1985.
    @article {SW, MRKEY = {0783348},
      AUTHOR = {Segal, Graeme and Wilson, George},
      TITLE = {Loop groups and equations of {K}d{V} type},
      JOURNAL = {Inst. Hautes Études Sci. Publ. Math.},
      FJOURNAL = {Institut des Hautes Études Scientifiques. Publications Mathématiques},
      VOLUME = {61},
      YEAR = {1985},
      PAGES = {5--65},
      ISSN = {0073-8301},
      CODEN = {PMIHA6},
      MRCLASS = {58F07 (14K99 35Q20 58G35)},
      MRNUMBER = {0783348},
      MRREVIEWER = {A. M. Vinogradov},
      DOI = {10.1007/BF02698802},
      ZBLNUMBER = {0592.35112},
      }
  • [sibuya77] Go to document Y. Sibuya, "Stokes phenomena," Bull. Amer. Math. Soc., vol. 83, iss. 5, pp. 1075-1077, 1977.
    @article {sibuya77, MRKEY = {0442337},
      AUTHOR = {Sibuya, Yasutaka},
      TITLE = {Stokes phenomena},
      JOURNAL = {Bull. Amer. Math. Soc.},
      FJOURNAL = {Bulletin of the American Mathematical Society},
      VOLUME = {83},
      YEAR = {1977},
      NUMBER = {5},
      PAGES = {1075--1077},
      ISSN = {0002-9904},
      MRCLASS = {34A20 (58A15)},
      MRNUMBER = {0442337},
      MRREVIEWER = {R. Gerard},
      DOI = {10.1090/S0002-9904-1977-14391-7},
      ZBLNUMBER = {0386.34008},
      }
  • [sikora-charvars] Go to document A. S. Sikora, "Character varieties," Trans. Amer. Math. Soc., vol. 364, iss. 10, pp. 5173-5208, 2012.
    @article {sikora-charvars, MRKEY = {2931326},
      AUTHOR = {Sikora, Adam S.},
      TITLE = {Character varieties},
      JOURNAL = {Trans. Amer. Math. Soc.},
      FJOURNAL = {Transactions of the American Mathematical Society},
      VOLUME = {364},
      YEAR = {2012},
      NUMBER = {10},
      PAGES = {5173--5208},
      ISSN = {0002-9947},
      CODEN = {TAMTAM},
      MRCLASS = {14D20 (14L24)},
      MRNUMBER = {2931326},
      DOI = {10.1090/S0002-9947-2012-05448-1},
      ZBLNUMBER = {06191466},
      }
  • [Sim-hboncc] Go to document C. T. Simpson, "Harmonic bundles on noncompact curves," J. Amer. Math. Soc., vol. 3, iss. 3, pp. 713-770, 1990.
    @article {Sim-hboncc, MRKEY = {1040197},
      AUTHOR = {Simpson, Carlos T.},
      TITLE = {Harmonic bundles on noncompact curves},
      JOURNAL = {J. Amer. Math. Soc.},
      FJOURNAL = {Journal of the American Mathematical Society},
      VOLUME = {3},
      YEAR = {1990},
      NUMBER = {3},
      PAGES = {713--770},
      ISSN = {0894-0347},
      MRCLASS = {58E20 (14C30 14H60 32G20)},
      MRNUMBER = {1040197},
      MRREVIEWER = {N. J. Hitchin},
      DOI = {10.2307/1990935},
      ZBLNUMBER = {0713.58012},
      }
  • [Sim94b] Go to document C. T. Simpson, "Moduli of representations of the fundamental group of a smooth projective variety. II," Inst. Hautes Études Sci. Publ. Math., vol. 80, pp. 5-79, 1995.
    @article {Sim94b, MRKEY = {1320603},
      AUTHOR = {Simpson, Carlos T.},
      TITLE = {Moduli of representations of the fundamental group of a smooth projective variety. {II}},
      JOURNAL = {Inst. Hautes Études Sci. Publ. Math.},
      FJOURNAL = {Institut des Hautes Études Scientifiques. Publications Mathématiques},
      VOLUME = {80},
      YEAR = {1995},
      PAGES = {5--79},
      ISSN = {0073-8301},
      CODEN = {PMIHA6},
      MRCLASS = {14D20 (14D22 14F05 14F10)},
      MRNUMBER = {1320603},
      MRREVIEWER = {Nitin Nitsure},
      DOI = {10.1007/BF02698895},
      ZBLNUMBER = {0891.14006},
      }
  • [szabo-nahm] S. Szabó, "Nahm transform for integrable connections on the Riemann sphere," Mém. Soc. Math. Fr., iss. 110, p. ii, 2007.
    @article {szabo-nahm, MRKEY = {2482471},
      AUTHOR = {Szab{ó},
      Szil{á}rd},
      TITLE = {Nahm transform for integrable connections on the {R}iemann sphere},
      JOURNAL = {Mém. Soc. Math. Fr.},
      FJOURNAL = {Mémoires de la Société Mathématique de France. Nouvelle Série},
      NUMBER = {110},
      YEAR = {2007},
      PAGES = {ii+114 pp. (2008)},
      ISSN = {0249-633X},
      ISBN = {978-2-85629-251-8},
      MRCLASS = {53C07 (14D21 14H60 58J60)},
      MRNUMBER = {2482471},
      MRREVIEWER = {Michael G. Eastwood},
      ZBLNUMBER = {1213.53005},
     }
  • [Ugag] Go to document M. Ugaglia, "On a Poisson structure on the space of Stokes matrices," Internat. Math. Res. Notices, iss. 9, pp. 473-493, 1999.
    @article {Ugag, MRKEY = {1692595},
      AUTHOR = {Ugaglia, Monica},
      TITLE = {On a {P}oisson structure on the space of {S}tokes matrices},
      JOURNAL = {Internat. Math. Res. Notices},
      FJOURNAL = {International Mathematics Research Notices},
      YEAR = {1999},
      NUMBER = {9},
      PAGES = {473--493},
      ISSN = {1073-7928},
      MRCLASS = {34M55 (34M35 37J05 37K15)},
      MRNUMBER = {1692595},
      MRREVIEWER = {V. A. Golubeva},
      DOI = {10.1155/S1073792899000240},
      ZBLNUMBER = {0939.34073},
      }
  • [vdb-doublepoisson] Go to document M. Van den Bergh, "Double Poisson algebras," Trans. Amer. Math. Soc., vol. 360, iss. 11, pp. 5711-5769, 2008.
    @article {vdb-doublepoisson, MRKEY = {2425689},
      AUTHOR = {{Van den Bergh},
      Michel},
      TITLE = {Double {P}oisson algebras},
      JOURNAL = {Trans. Amer. Math. Soc.},
      FJOURNAL = {Transactions of the American Mathematical Society},
      VOLUME = {360},
      YEAR = {2008},
      NUMBER = {11},
      PAGES = {5711--5769},
      ISSN = {0002-9947},
      CODEN = {TAMTAM},
      MRCLASS = {17B63 (53D17)},
      MRNUMBER = {2425689},
      MRREVIEWER = {Anne Pichereau},
      DOI = {10.1090/S0002-9947-08-04518-2},
      ZBLNUMBER = {1157.53046},
      }
  • [vdb-ncqh] Go to document M. Van den Bergh, "Non-commutative quasi-Hamiltonian spaces," in Poisson Geometry in Mathematics and Physics, Providence, RI: Amer. Math. Soc., 2008, vol. 450, pp. 273-299.
    @incollection {vdb-ncqh, MRKEY = {2397630},
      AUTHOR = {{Van den Bergh},
      Michel},
      TITLE = {Non-commutative quasi-{H}amiltonian spaces},
      BOOKTITLE = {Poisson Geometry in Mathematics and Physics},
      SERIES = {Contemp. Math.},
      VOLUME = {450},
      PAGES = {273--299},
      PUBLISHER = {Amer. Math. Soc.},
      ADDRESS = {Providence, RI},
      YEAR = {2008},
      MRCLASS = {58B34 (16S38 53D17)},
      MRNUMBER = {2397630},
      MRREVIEWER = {Jon Eivind Vatne},
      DOI = {10.1090/conm/450/08745},
      ZBLNUMBER = {1236.58019},
      }
  • [Weil64] Go to document A. Weil, "Remarks on the cohomology of groups," Ann. of Math., vol. 80, pp. 149-157, 1964.
    @article {Weil64, MRKEY = {0169956},
      AUTHOR = {Weil, Andr{é}},
      TITLE = {Remarks on the cohomology of groups},
      JOURNAL = {Ann. of Math.},
      FJOURNAL = {Annals of Mathematics. Second Series},
      VOLUME = {80},
      YEAR = {1964},
      PAGES = {149--157},
      ISSN = {0003-486X},
      MRCLASS = {22.70 (32.65)},
      MRNUMBER = {0169956},
      MRREVIEWER = {S. Murakami},
      DOI = {10.2307/1970495},
      ZBLNUMBER = {0192.12802},
      }
  • [Witten-wild] Go to document E. Witten, "Gauge theory and wild ramification," Anal. Appl. $($Singap.$)$, vol. 6, iss. 4, pp. 429-501, 2008.
    @article {Witten-wild, MRKEY = {2459120},
      AUTHOR = {Witten, Edward},
      TITLE = {Gauge theory and wild ramification},
      JOURNAL = {Anal. Appl. $($Singap.$)$},
      FJOURNAL = {Analysis and Applications},
      VOLUME = {6},
      YEAR = {2008},
      NUMBER = {4},
      PAGES = {429--501},
      ISSN = {0219-5305},
      MRCLASS = {14D24 (34M40 53C26 53D37 81T45 81T60)},
      MRNUMBER = {2459120},
      MRREVIEWER = {Anton N. Kapustin},
      DOI = {10.1142/S0219530508001195},
      ZBLNUMBER = {1177.81101},
      }
  • [Woodh-sat] Go to document N. M. J. Woodhouse, "The symplectic and twistor geometry of the general isomonodromic deformation problem," J. Geom. Phys., vol. 39, iss. 2, pp. 97-128, 2001.
    @article {Woodh-sat, MRKEY = {1844829},
      AUTHOR = {Woodhouse, N. M. J.},
      TITLE = {The symplectic and twistor geometry of the general isomonodromic deformation problem},
      JOURNAL = {J. Geom. Phys.},
      FJOURNAL = {Journal of Geometry and Physics},
      VOLUME = {39},
      YEAR = {2001},
      NUMBER = {2},
      PAGES = {97--128},
      ISSN = {0393-0440},
      CODEN = {JGPHE5},
      MRCLASS = {32L25 (32G34 34M55 37J99 53C28)},
      MRNUMBER = {1844829},
      MRREVIEWER = {Ian A. B. Strachan},
      DOI = {10.1016/S0393-0440(01)00003-1},
      ZBLNUMBER = {1116.32015},
      }
  • [xu-poisson.inv] Go to document P. Xu, "Dirac submanifolds and Poisson involutions," Ann. Sci. École Norm. Sup., vol. 36, iss. 3, pp. 403-430, 2003.
    @article {xu-poisson.inv, MRKEY = {1977824},
      AUTHOR = {Xu, Ping},
      TITLE = {Dirac submanifolds and {P}oisson involutions},
      JOURNAL = {Ann. Sci. École Norm. Sup.},
      FJOURNAL = {Annales Scientifiques de l'École Normale Supérieure. Quatrième Série},
      VOLUME = {36},
      YEAR = {2003},
      NUMBER = {3},
      PAGES = {403--430},
      ISSN = {0012-9593},
      CODEN = {ASENAH},
      MRCLASS = {53D17 (37J05 58H05 70G45 70H45)},
      MRNUMBER = {1977824},
      MRREVIEWER = {Rui Loja Fernandes},
      DOI = {10.1016/S0012-9593(03)00013-2},
      ZBLNUMBER = {1047.53052},
      }
  • [yamakawa-mpa] Go to document D. Yamakawa, "Geometry of multiplicative preprojective algebra," Int. Math. Res. Pap. IMRP, vol. 2008, p. I.
    @article {yamakawa-mpa, MRKEY = {2470573},
      AUTHOR = {Yamakawa, Daisuke},
      TITLE = {Geometry of multiplicative preprojective algebra},
      JOURNAL = {Int. Math. Res. Pap. IMRP},
      FJOURNAL = {International Mathematics Research Papers. IMRP},
      VOLUME = {2008},
      PAGES = {Art. ID rpn008, 77pp},
      ISSN = {1687-3017},
      MRCLASS = {16G20 (14L30)},
      MRNUMBER = {2470573},
      ZBLNUMBER = {1197.16019},
      DOI = {10.1093/imrp/rpn008},
     }

Authors

P. P. Boalch

École Normale Supérieure and CNRS, Paris, France