Timeline for Borel cohomology for circle actions on odd spheres
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 25, 2023 at 18:45 | vote | accept | Aditya De Saha | ||
| Oct 24, 2023 at 11:34 | answer | added | Tom Goodwillie | timeline score: 4 | |
| Oct 24, 2023 at 3:43 | comment | added | Aditya De Saha | @TomGoodwillie thanks for your response. I was (am) stuck at figuring out what these differential operators look like. Would you please expand on why they are multiplication by $m_1m_2...m_k$? | |
| Oct 23, 2023 at 23:06 | comment | added | Tom Goodwillie | Did you look at the spectral sequence with $E_2^{i,j}=H^i(BS^1;H^j(S^n))$? It has only two non-zero rows, the nontrivial groups $E_2^{2p,0}$ and $E_2^{2p,n}$ being infinite cyclic. The computation all comes down to knowing the differential $E_2^{0,n}\to E_2^{n+1,0}$, which takes generator to $m_1\dots m_k$ times generator. | |
| Oct 23, 2023 at 19:21 | history | asked | Aditya De Saha | CC BY-SA 4.0 |