Timeline for Mapping class group and CAT(0) spaces
Current License: CC BY-SA 3.0
10 events
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Jun 22, 2022 at 7:16 | history | edited | CommunityBot |
replaced http://front.math.ucdavis.edu/ with https://arxiv.org/abs/
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Nov 14, 2013 at 16:12 | comment | added | Ian Agol | OK, thanks Carlos. I thought they had done the 4-strand braid group. I think then this should imply the result for $Mod(S_2)$, but I haven't thought this through carefully. | |
Nov 14, 2013 at 13:41 | comment | added | Luc | Brady and MacCammond showed in arxiv.org/abs/0909.4778 that the 5-strand braid group is CAT(0). | |
Nov 12, 2013 at 2:10 | vote | accept | Anonymous | ||
Nov 12, 2013 at 1:39 | history | edited | Ian Agol | CC BY-SA 3.0 |
added 306 characters in body
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Nov 11, 2013 at 19:31 | comment | added | Misha | Ian: This is a general argument based on product decomposition of parallel sets in CAT(0) spaces. | |
Nov 11, 2013 at 19:20 | comment | added | Ian Agol | @Misha: Right, I thought of this proof (you use the observation of Geoff Mess that there's a non-trivial circle bundle over a surface?), but I thought it was only the case of smooth non-positively curved manifolds. | |
Nov 11, 2013 at 15:59 | comment | added | Lee Mosher | @Misha: The published title is a bit different, "Actions of discrete groups on nonpositively curved spaces" | |
Nov 11, 2013 at 10:28 | comment | added | Misha | Ian: This is theorem 4.2 of M. Kapovich, B. Leeb, Actions of discrete groups on Hadamard spaces, Math. Annalen, Bd. 306 (1996) p. 341-352. | |
Nov 11, 2013 at 2:00 | history | answered | Ian Agol | CC BY-SA 3.0 |