Classification of Equivariant Complex Vector Bundles over a Circle
Algebraic Topology
2023-10-31 v1 K-Theory and Homology
Abstract
In this paper we characterize the fiber representations of equivariant complex vector bundles over a circle and classify these bundles. We also treat the triviality of equivariant complex vector bundles over a circle by investigating the extensions of representations. As a corollary of our results, we calculate the reduced equivariant K-group of a circle for any compact Lie group.
Keywords
Cite
@article{arxiv.math/9910001,
title = {Classification of Equivariant Complex 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/9910001},
year = {2023}
}
Comments
15 pages, AMS-LaTeX v1.2