Holomorphic Factorization of Mappings into $ \operatorname{Sp}_{4}( \mathbb{C}) $
Complex Variables
2023-04-26 v1
Abstract
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.
Cite
@article{arxiv.2005.07454,
title = {Holomorphic Factorization of Mappings into $ \operatorname{Sp}_{4}( \mathbb{C}) $},
author = {Björn Ivarsson and Frank Kutzschebauch and Erik Løw},
journal= {arXiv preprint arXiv:2005.07454},
year = {2023}
}
Comments
53 pages