Timeline for Smooth circle action, $\chi(M^{S^1}) = \chi(M)$
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 14, 2020 at 12:15 | comment | added | Nicolas Hemelsoet | The Euler characteristic is the number of zeroes of a vector field (counted properly). The $S^1$-action gives a vector field, which zeroes are exactly fixed point of the action. | |
| Jan 4, 2017 at 20:35 | answer | added | Martintxo Saralegi-Aranguren | timeline score: 7 | |
| Dec 16, 2016 at 8:09 | vote | accept | Jens Reinhold | ||
| Dec 16, 2016 at 1:22 | comment | added | mme | A G-manifold has a G-CW complex structure, and for G-cells other than the discs with trivial $S^1$ action the Euler characteristic is zero. | |
| Dec 15, 2016 at 16:08 | answer | added | shu | timeline score: 4 | |
| Dec 15, 2016 at 15:45 | answer | added | Igor Rivin | timeline score: 4 | |
| Dec 15, 2016 at 13:51 | history | asked | Jens Reinhold | CC BY-SA 3.0 |