Classification of equivariant real vector bundles over a circle
Algebraic Topology
2023-10-31 v1 K-Theory and Homology
Abstract
This is a continuation of the authors' previous work [math.AT/9910001] on classification of equivariant complex vector bundles over a circle. In this paper we classify equivariant real vector bundles over a circle with a compact Lie group action, by characterizing the fiber representations of them, and by using the result of the complex case. We also treat the triviality of them. The basic phenomenon is similar to the complex case but more complicated here.
Keywords
Cite
@article{arxiv.math/0005079,
title = {Classification of equivariant real vector bundles over a circle},
author = {Jin-Hwan Cho and Sung Sook Kim and Mikiya Masuda and Dong Youp Suh},
journal= {arXiv preprint arXiv:math/0005079},
year = {2023}
}
Comments
16 pages, AMS-LaTeX v1.2