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Equivariant bundles invisible in K-theory and Borel cohomology

The simplest example of what you are looking for occurs when $G = S^1$ and $X=S^1/C_6$, where $C_6$ is the group of 6th roots of unity. Then the map $$ K_G(X) \rightarrow K(EG\times_G X)$$ identifies …
Nicholas Kuhn's user avatar
2 votes

Equivariant cohomology of fixed points using the localisation theorem

Like Andy's answer, this is about alternate proofs of the inequality in Theorem 1, which is, as was mentioned, perhaps due to Ed Floyd in a 1952 paper. This Floyd theorem obviously implies the 1941 re …
Nicholas Kuhn's user avatar
2 votes

What is equivariant chains on a representation sphere?

Exercise 10 of section 1 of Chapter II of tom Dieck's book Transformation Groups gives you one answer to your question. It reads: Let $S(V)$ be the representation sphere of a finite group $G$. Show di …
Nicholas Kuhn's user avatar