The Borel Cohomology of Free Iterated Loop Spaces

Ishan Levy, Justin Wu

We compute the $\mathrm{SO}(\mathrm{n}+1)$-equivariant mod $2$ Borel cohomology of the free iterated loop space $Z^{S^n}$ when $Z$ is a mod $2$ generalized Eilenberg Mac Lane space. When $n=1$,…