On RO(G)–graded equivariant “ordinary” cohomology where G is a power of ℤ∕2

Holler, John; Kriz, Igor

doi:10.2140/agt.2017.17.741

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

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

DOI: 10.2140/agt.2017.17.741

Abstract

We compute the complete $RO (G)$ –graded coefficients of “ordinary” cohomology with coefficients in $ℤ ∕ 2$ for $G = {(ℤ ∕ 2)}^{n}$ . 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

Volume 17, issue 2 (2017)