Volume 17, issue 2 (2017)

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ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
On $\mathop{\mathrm{RO}}(G)$–graded equivariant “ordinary” cohomology where $G$ is a power of $\mathbb{Z}/2$

John Holler and Igor Kriz

Algebraic & Geometric Topology 17 (2017) 741–763
Abstract

We compute the complete RO(G)–graded coefficients of “ordinary” cohomology with coefficients in 2 for G = (2)n. As an important intermediate step, we identify the ring of coefficients of the corresponding geometric fixed point spectrum, revealing some interesting algebra. This is a first computation of its kind for groups which are not cyclic p–groups.

Keywords
equivariant cohomology, geometric fixed points, isotropy separation
Mathematical Subject Classification 2010
Primary: 55N91
References
Publication
Received: 9 June 2015
Revised: 17 August 2016
Accepted: 14 September 2016
Published: 14 March 2017
Authors
John Holler
Department of Mathematics
University of Michigan
2074 East Hall
530 Church Street
Ann Arbor, MI 48109-1043
United States
Igor Kriz
Department of Mathematics
University of Michigan
2074 East Hall
530 Church Street
Ann Arbor, MI 48109-1043
United States