#### Volume 17, issue 2 (2017)

 Recent Issues
 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Author Index To Appear 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 $RO\left(G\right)$–graded coefficients of “ordinary” cohomology with coefficients in $ℤ∕2$ for $G={\left(ℤ∕2\right)}^{n}$. 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
Primary: 55N91