The $C_2$-equivariant ordinary cohomology of $B{T}^2$

Abstract

We calculate the ordinary $C_2$-cohomology of $B{T}^2$ with Burnside ring coefficients, using an extended grading that allows us to capture a more natural set of generators. We discuss how this cohomology is related to those of $B{T}^1$ and $BU(2)$, calculated previously, both relationships being more complicated than in the nonequivariant case.

45 pages