Timeline for When does the equivariant homology of the fixed part of a $G$-space surject onto the equivariant homology of the whole space?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Nov 13, 2011 at 17:35 | comment | added | Will Sawin | I meant to say $X - X^G$. | |
| Nov 13, 2011 at 17:34 | comment | added | Will Sawin | I don't know about this specific cohomology theory, but does it have a long exact sequence property that could answer this? I would expect that this would happen when $X \ X^G$, or something like it, has trivial homology. | |
| Nov 13, 2011 at 15:12 | answer | added | Alex | timeline score: 0 | |
| Nov 13, 2011 at 13:43 | comment | added | Allen Knutson | Incidentally, the definition of equivariant homology as the ordinary homology of the Borel mixing space is not a very nice one, e.g. the module structure over equivariant cohomology is locally nilpotent rather than free. Michel Brion has a (as always very nice) paper defining something that, for compact oriented manifolds, has a Poincar\'e duality to equivariant cohomology. projecteuclid.org/… | |
| Nov 13, 2011 at 13:27 | answer | added | Johannes Ebert | timeline score: 2 | |
| Nov 13, 2011 at 13:19 | history | edited | Johannes Ebert | CC BY-SA 3.0 |
LaTeX fixed
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| Nov 13, 2011 at 12:48 | history | asked | user2529 | CC BY-SA 3.0 |