Abstract
We solve Gromov’s Vaserstein problem. Namely, we show that a null-homotopic holomorphic mapping from a finite dimensional reduced Stein space into $\mathrm{SL}_n(\mathbb{C})$ can be factored into a finite product of unipotent matrices with holomorphic entries.
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AUTHOR = {Cohn, P. M.},
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author = {Ivarsson, Bj{ö}rn and Kutzschebauch, Frank},
TITLE = {On the number of factors in the unipotent factorization of holomorphic mappings into {${\rm{SL}}_2({\mathbb{C}})$}},
NOTE={to appear in \textit{{P}roc. {A}mer. {M}ath. {S}oc.}},
URL={http://dx.doi.org/10.1090/S0002-9939-2011-11025-6},
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}