Homotopy Decompositions of Gauge Groups over Real Surfaces
Algebraic Topology
2018-03-16 v1
Abstract
We analyse the homotopy types of gauge groups of principal U(n)-bundles associated to pseudo Real vector bundles in the sense of Atiyah. We provide satisfactory homotopy decompositions of these gauge groups into factors in which the homotopy groups are well known. Therefore, we substantially build upon the low dimensional homotopy groups as provided in a paper by I. Biswas, J. Huisman, and J. Hurtubise.
Keywords
Cite
@article{arxiv.1701.00430,
title = {Homotopy Decompositions of Gauge Groups over Real Surfaces},
author = {Michael West},
journal= {arXiv preprint arXiv:1701.00430},
year = {2018}
}
Comments
43 pages, to be published in Algebraic and Geometric Topology