English

The Birkhoff-Grothendieck theorem

Differential Geometry 2023-11-08 v2 History and Overview

Abstract

We give a historical presentation of the Grothendieck theorem on the splitting of vector bundles over the Riemann sphere, and explore some of its links with the Riemann-Hilbert-Birkhoff problems and the Birkhoff factorization theorem.

Keywords

Cite

@article{arxiv.2304.08037,
  title  = {The Birkhoff-Grothendieck theorem},
  author = {Oumar Wone},
  journal= {arXiv preprint arXiv:2304.08037},
  year   = {2023}
}

Comments

23 pages

R2 v1 2026-06-28T10:07:54.720Z