Timeline for Kunneth formula for semidirect product
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Jul 27, 2018 at 13:12 | history | edited | Xiao-Gang Wen | CC BY-SA 4.0 |
edited body
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| Jul 27, 2018 at 13:11 | vote | accept | Xiao-Gang Wen | ||
| Jul 27, 2018 at 4:36 | answer | added | Chris Gerig | timeline score: 7 | |
| Jul 27, 2018 at 1:53 | comment | added | Xiao-Gang Wen | Thanks for the refs and the counter example. In the counter example, the group $N=\mathbb{Z}^k$ is not compact. I wonder if the conjecture can be true if both $N$ and $G$ are finite or compact (like $SU(n)$). | |
| Jul 27, 2018 at 1:25 | comment | added | Chris Gerig | And here are some examples where it does not collapse: Totaro's paper "Cohomology of Semidirect Product Groups", and a disproof of a conjecture of Adem (arxiv.org/pdf/1105.4772.pdf) which I think is related to the arXiv paper you linked. | |
| Jul 27, 2018 at 1:03 | comment | added | Daniel Litt | There's a spectral sequence with $E_2$-page the right-hand side of your formula, converging to the left-hand side. Typically it does not degenerate. See: en.wikipedia.org/wiki/… | |
| Jul 27, 2018 at 0:52 | history | asked | Xiao-Gang Wen | CC BY-SA 4.0 |