HOLOMORPHIC FACTORIZATION OF MAPPINGS INTO Sp4(C)

Ivarsson, Björn; Kutzschebauch, Frank; Løw, Erik

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HOLOMORPHIC FACTORIZATION OF MAPPINGS INTO Sp4(C)

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Title:	HOLOMORPHIC FACTORIZATION OF MAPPINGS INTO Sp4(C)
Author(s):	Ivarsson, Björn ; Kutzschebauch, Frank ; Løw, Erik
Date:	2023
Language:	en
Pages:	45 233-277
Department:	Department of Mathematics and Systems Analysis University of Bern University of Oslo Department of Mathematics and Systems Analysis
Series:	ANALYSIS AND PDE, Volume 16, issue 1
ISSN:	2157-5045 1948-206X
DOI-number:	10.2140/apde.2023.16.233
Keywords:	algebraic K-theory, elementary symplectic matrices, Oka principle, rings of holomorphic functions, Stein spaces, symplectic matrices, unipotent factorization
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Citation: Ivarsson , B , Kutzschebauch , F & Løw , E 2023 , ' HOLOMORPHIC FACTORIZATION OF MAPPINGS INTO Sp 4 (C) ' , ANALYSIS AND PDE , vol. 16 , no. 1 , pp. 233-277 . https://doi.org/10.2140/apde.2023.16.233
Abstract: We prove that any null-homotopic holomorphic map from a Stein space X to the symplectic group Sp4(C) can be written as a finite product of elementary symplectic matrices with holomorphic entries.

Description: Funding Information: Part of this research was done while the authors were visitors at The Centre for Advanced Study (CAS) at the Norwegian Academy of Science and Letters. Ivarsson was also supported by the Magnus Ehrnrooth Foundation and Løw by Bergens Forskningsstiftelse (BFS). The research of Kutzschebauch was partially supported by Schweizerische Nationalfonds Grant 200021-178730. MSC2020: primary 32Q56; secondary 19B14. Keywords: Oka principle, Stein spaces, symplectic matrices, unipotent factorization, elementary symplectic matrices, rings of holomorphic functions, algebraic K-theory. Publisher Copyright: © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). Open Access made possible by subscribing institutions via Subscribe to Open.
Permanent link to this item: http://urn.fi/URN:NBN:fi:aalto-202308235030 Email this Export to RefWorks QR Code Print BibTex Tweet