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Timeline for Relative equivariant cohomology

Current License: CC BY-SA 4.0

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Nov 14, 2018 at 22:50 vote accept Alireza Behtash
Nov 14, 2018 at 21:46 answer added mme timeline score: 4
Nov 14, 2018 at 19:56 comment added Alireza Behtash @MikeMiller So you're saying that all I have is the equivariant cohomology of the suspension of $S^\infty$ that due to being contractible is again that of $S^\infty$?
Nov 14, 2018 at 18:50 comment added mme Your pair is equivariantly homotopy equivalent to $S^1$ with the reflection map and the same fixed point set, so you will get the same relative cohomology. Now by hand you can see that the relative Borel construction gives you in this case the suspension of $EG$. All you have is something in degree 0.
Nov 14, 2018 at 18:38 history asked Alireza Behtash CC BY-SA 4.0