Abstract
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We prove that any null-homotopic holomorphic map from a Stein space
to the symplectic
group
can be written as a finite product of elementary symplectic matrices with
holomorphic entries.
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Keywords
Oka principle, Stein spaces, symplectic matrices, unipotent
factorization, elementary symplectic matrices, rings of
holomorphic functions, algebraic K-theory
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Mathematical Subject Classification
Primary: 32Q56
Secondary: 19B14
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Milestones
Received: 28 May 2020
Revised: 8 May 2021
Accepted: 10 June 2021
Published: 14 April 2023
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Publishers). Distributed under the Creative Commons
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