A stroll in equivariant $K$-theory
K-Theory and Homology
2023-09-19 v2 Algebraic Topology
Abstract
Equivariant -theory is a generalized equivariant cohomology theory which is a hybrid of the -theory of a topological space and the representation theory of the group acting on it. In this article, we review the basics of equivariant -theory and focus on the localization theorem and formula due to Atiyah and Segal, which have become important tools in equivariant topology nowadays. We then discuss the application of equivariant -theory to equivariant formality, and briefly mention some recent developments.
Cite
@article{arxiv.2306.06951,
title = {A stroll in equivariant $K$-theory},
author = {Chi-Kwong Fok},
journal= {arXiv preprint arXiv:2306.06951},
year = {2023}
}
Comments
Expository article, 22 pages. Only some changes in formatting were made. To appear in Contemporary Mathematics