Geometry of the mapping class groups III: Quasi-isometric rigidity
| dc.creator | Hamenstaedt, Ursula | |
| dc.date | 2005-12-18 | |
| dc.date | 2007-01-28 | |
| dc.date.accessioned | 2026-07-07T07:43:08Z | |
| dc.date.available | 2026-07-07T07:43:08Z | |
| dc.description | Let S be an oriented surface of finite type of genus g with m punctures and where 3g-3+m>1. We show that the mapping class group M(S) of S is quasi-isometrically rigid. We also give a different proof of the following result of Behrstock and Minsky: The homological dimension of the asmyptotic cone of M(S) of S equals 3g-3+m. | |
| dc.description | 73 p, 7 figures. Completely rewritten. Substantial corrections. Proof of quasi-isometric rigidity added | |
| dc.identifier | https://arxiv.org/abs/math/0512429 | |
| dc.identifier | http://arxiv.org/abs/math/0512429 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122706 | |
| dc.subject | Geometric Topology | |
| dc.subject | Group Theory | |
| dc.subject | 50F65, 57M50 | |
| dc.title | Geometry of the mapping class groups III: Quasi-isometric rigidity | |
| dc.type | text |