Timeline for cohomology of the orbit space of a group action
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| May 18, 2016 at 18:34 | history | edited | Andy Putman | CC BY-SA 3.0 |
Fix broken link
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| Mar 19, 2015 at 16:05 | comment | added | Andy Putman | @MarkGrant : It's definitely true if $|G|$ is invertible in $F$ (with the same proof). As for whether the isomorphisms respect cup products, I rather doubt it, though I don't have an example in mind. If $G$ acts freely (so the projection $M \rightarrow M/G$ is a covering map), then the isomorphism is induced by the transfer map. See the answer to mathoverflow.net/questions/58159/… for an example of where this is not a ring homomorphism (though that example is not over a field of characteristic $0$). | |
| Mar 19, 2015 at 7:54 | comment | added | Mark Grant | Presumably this can be promoted to a statement about graded algebras? And is it also true if $|G|$ is invertible in $F$? | |
| Mar 19, 2015 at 2:43 | vote | accept | Shiquan Ren | ||
| Mar 19, 2015 at 1:52 | history | answered | Andy Putman | CC BY-SA 3.0 |