On the Rational Bredon Cohomology of Equivariant Configuration Spaces
Algebraic Topology
2022-04-20 v1 Representation Theory
Abstract
Bredon cohomology is a cohomology theory that applies to topological spaces equipped with the group actions. For any group G, given a real linear representation V , the configuration space of V has a natural diagonal G-action. In the paper we study this group action on the configuration space and give a decomposition of the homology Bredon coefficient system of the configuration space and apply this to compute rational Bredon cohomology of the configuration space for small nonabelian group G.
Keywords
Cite
@article{arxiv.2204.08719,
title = {On the Rational Bredon Cohomology of Equivariant Configuration Spaces},
author = {Qiaofeng Zhu},
journal= {arXiv preprint arXiv:2204.08719},
year = {2022}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1811.07076