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Holomorphic
factorization of mappings into
$\operatorname{Sp}_4(\mathbb{C})$
Björn Ivarsson, Frank Kutzschebauch and Erik Løw |
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Vol. 16 (2023), No. 1, 233–277
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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. |
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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Authors |
| Björn Ivarsson | |
| Department of Mathematics and
Systems Analysis Aalto University Aalto Finland |
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| Frank Kutzschebauch | |
| Departement Mathematik Universität Bern Bern Switzerland |
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| Erik Løw | |
| Department of Mathematics University of Oslo Oslo Norway |
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| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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