Notes on equivariant homology with constant coefficients

2020/11/20 by Kriz, Sophie
#20D15 #55N91 #55P42 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2011.10622

Abstract

In this paper, for a finite group, we discuss a method for calculating equivariant homology with constant coefficients. We apply it to completely calculate the geometric fixed points of the equivariant spectrum representing equivariant (co)homology with constant coefficients. We also treat a more complicated example of inverting the standard representation in the equivariant homology of split extraspecial groups at the prime 2.

Related

• An introduction to equivariant cohomology and homology, following Goresky, Kottwitz, and MacPherson
• Generalized equivariant homology on simplicial complexes
• Non-trivial extensions in equivariant cohomology with constant coefficients
• Synthetic equivariant spectra for finite abelian groups and motivic homotopy theory
• Computing Equivariant Homotopy with a Splitting Method