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11
votes
Accepted
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 …
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 …
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 …