Abstract
In this note, we explain that the foliation by complex manifolds we construct in [M-V] does not live on the 5-sphere as claimed, but on a 5-manifold with non-trivial fundamental group.
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[M-V]
L. Meersseman and A. Verjovsky, "A smooth foliation of the 5-sphere by complex surfaces," Ann. of Math., vol. 156, iss. 3, pp. 915-930, 2002.@article {M-V, MRKEY = {1954239},
AUTHOR = {Meersseman, Laurent and Verjovsky, Alberto},
TITLE = {A smooth foliation of the 5-sphere by complex surfaces},
JOURNAL = {Ann. of Math.},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {156},
YEAR = {2002},
NUMBER = {3},
PAGES = {915--930},
ISSN = {0003-486X},
CODEN = {ANMAAH},
MRCLASS = {57R30 (32V05)},
MRNUMBER = {1954239},
MRREVIEWER = {Takeshi Sasaki},
DOI = {10.2307/3597286},
ZBLNUMBER = {1029.32019},
} -
[M-V2] L. Meersseman and A. Verjovsky, Correction to “A smooth foliation of the 5-sphere by complex surfaces”, 2011.
@misc{M-V2,
author={Meersseman, Laurent and Verjovsky, Alberto},
TITLE = {Correction to ``A smooth foliation of the 5-sphere by complex surfaces''},
ARXIV={1106.0504},
YEAR={2011},
}
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