Timeline for Z/p action on finite contractible complex
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 13, 2015 at 16:01 | comment | added | Jens Reinhold | @Qiaochu: I think that for any map of finite order, all local fixed points have index +1. | |
| Jun 13, 2015 at 15:58 | vote | accept | Jens Reinhold | ||
| Jun 13, 2015 at 15:57 | history | edited | Jens Reinhold | CC BY-SA 3.0 |
added 12 characters in body
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| Jun 13, 2015 at 15:57 | comment | added | Jens Reinhold | Sorry for the confusing grammar - I changed that now. | |
| Jun 13, 2015 at 11:44 | answer | added | Jeremy Rickard | timeline score: 13 | |
| Jun 13, 2015 at 9:23 | comment | added | Francesco Polizzi | What do you mean "this seems to hold?" Your question is "Can there be more than one?", so I'm a bit confused. | |
| Jun 13, 2015 at 7:46 | comment | added | Qiaochu Yuan | I also don't know what argument you have in mind for the manifold case. Say $p = 2$. Why can't there be three fixed points with indices $1, 1, -1$? | |
| Jun 13, 2015 at 7:45 | comment | added | Qiaochu Yuan | I think the number of fixed points must be congruent to $1 \bmod p$ (subdivide and homotope until the action is cellular, then compute the Euler characteristic from cellular homology), but I don't know how to rule out the possibility that there are, say, $p + 1$ of them. | |
| Jun 13, 2015 at 6:57 | history | asked | Jens Reinhold | CC BY-SA 3.0 |