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Generalized equivariant homology on simplicial complexes

2011/03/08 by Jason Hanson, Hanson, Jason
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models #Advanced Operator Algebra Research

paper · pdf · doi:10.48550/arxiv.1103.1555

Abstract

A careful account is given of generalized equivariant homology theories on the category of topological pairs acted on by a group. In particular, upon restriction to the category of equivariant simplicial complexes, the equivalence of equivariant simplicial homology (also known as Bredon homology), the second derived term of the Atiyah--Hirzebruch spectral sequence, and equivariant singular homology is demonstrated.

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