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5
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Equivariant Cohomology for actions with finite stabilizers
Let $X$ be a reasonable topological space (let's say it has the homotopy type of a CW complex) and let $G$ be a topological group acting on that space. Let $E_G \rightarrow B_G$ be the universal bundl …
9
votes
1
answer
2k
views
Equivariant cohomology of finite group actions and invariant cohomology classes
Let $W$ be a finite group acting on a space $X$. In what generality is it true that $H^*_W(X) = H^* (X)^W$? We always have a map $H^*_W(X) \rightarrow H^* (X)^W$, but it is certainly not an isomorphi …