@article{fbfcf378d0df45b394d8335857fda522,
title = "HOLOMORPHIC FACTORIZATION OF MAPPINGS INTO Sp4(C)",
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.",
keywords = "algebraic K-theory, elementary symplectic matrices, Oka principle, rings of holomorphic functions, Stein spaces, symplectic matrices, unipotent factorization",
author = "Bj{\"o}rn Ivarsson and Frank Kutzschebauch and Erik L{\o}w",
note = "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 L{\o}w 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: {\textcopyright} 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.",
year = "2023",
doi = "10.2140/apde.2023.16.233",
language = "English",
volume = "16",
pages = "233--277",
journal = "Analysis and PDE",
issn = "2157-5045",
publisher = "Mathematical Sciences Publishers",
number = "1",
}