A $C_2$-equivariant analog of Mahowald's Thom spectrum theorem

Abstract

We prove that the $C_2$-equivariant Eilenberg-MacLane spectrum associated to the constant Mackey functor $\underline{\mathbb{F}}_2$ is equivalent to a Thom spectrum over ${\Omega^\rho S^{\rho + 1}}$.Comment: 10 pages; minor updates following referee repor