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Results tagged with equivariant-cohomology
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user 6668
12
votes
Accepted
Borel equivariant homology of a suspension
I assume that by Borel equivariant homology of $X$ you mean the ordinary homology of the "Borel construction" $X\times_G EG$.
There is a homotopy cofibration sequence
$$
X\times_G EG \to *\times_G EG …
- 10.9k
4
votes
Accepted
The set of isomorphism classes of Z/nZ-equivariant line bundles over a 2 dimensional Z/nZ-CW...
You can replace $GL_1(\mathbb C)$ with its maximal compact subgroup, which is $S^1$. Since $S^1$ is an abelian compact Lie group, there is a natural $\mathbb Z/n$-equivariant equivalence
$$B_{\mathbb …
- 10.9k