Timeline for Equivariant singular cohomology
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
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| Feb 24, 2011 at 22:08 | history | edited | Ben Webster♦ | CC BY-SA 2.5 |
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| Dec 24, 2009 at 15:59 | comment | added | Chris Schommer-Pries | of course, "... each level of the simplicial set" should be read as "... each level of the simplicial space". | |
| Dec 24, 2009 at 13:34 | comment | added | Chris Schommer-Pries | There is an abelian category of "simplicial sheaves over a simplicial manifold" and there will be enough injectives. So you just take any injective resolution. The standard reference (in the scheme case) is "Etale Homotopy of Simplicial Schemes" by E. Friedlander. I think there was also some work by Dupont on exactly this equivariant case. Anyway, in the case you are looking at you can just use the usual de Rham resolution of Z in each level of the simplicial set. You will get a double complex (one direction from the de Rham differential, one simplicial). You just take the total cohomology. | |
| Dec 23, 2009 at 17:12 | comment | added | Kevin H. Lin | How does one define cohomology of a simplicial manifold? | |
| Dec 23, 2009 at 3:57 | history | answered | Ben Webster♦ | CC BY-SA 2.5 |