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arXiv · 2204.08719

On the Rational Bredon Cohomology of Equivariant Configuration Spaces

Qiaofeng Zhu
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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.

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Qiaofeng Zhu. 2022-04-19. On the Rational Bredon Cohomology of Equivariant Configuration Spaces. https://arxiv.org/abs/2204.08719

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