Unipotent Factorization of Vector Bundle Automorphisms
Rings and Algebras
2021-01-19 v2 Complex Variables
K-Theory and Homology
Abstract
We provide unipotent factorizations of vector bundle automorphisms of real and complex vector bundles over smooth manifolds. This generalises work of Thurston-Wasserstein and Wasserstein for trivial vector bundles. We also address two symplectic cases and propose a complex geometric analog of the problem in the setting of holomorphic vector bundles over Stein manifolds.
Keywords
Cite
@article{arxiv.1911.13240,
title = {Unipotent Factorization of Vector Bundle Automorphisms},
author = {Jakob Hultgren and Erlend F. Wold},
journal= {arXiv preprint arXiv:1911.13240},
year = {2021}
}