Geometry of the mapping class groups III: Quasi-isometric rigidity

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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.
73 p, 7 figures. Completely rewritten. Substantial corrections. Proof of quasi-isometric rigidity added

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Geometric Topology, Group Theory, 50F65, 57M50

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http://salesiana.dossiersoluciones.com/handle/123456789/122706

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0512429
 http://arxiv.org/abs/math/0512429

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arXiv