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

By U. Hamenstaedt. 2005

51 citations recorded by the source corpus.

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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/bf83e009b8b7059a0ed34eda7a1a5eae4d018b3d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Jason A. Behrstock
2. Bruce Kleiner
3. Lee Mosher
4. Yair N. Minsky
5. Alessandro Sisto
6. Mark F. Hagen
7. Kasra Rafi
8. H. Masur

In Mathematical Physics

1. Jason A. Behrstock
2. Lee Mosher
3. Bruce Kleiner
4. Yair N. Minsky
5. Alessandro Sisto
6. Mark F. Hagen
7. Kasra Rafi
8. H. Masur

Citations in the corpus

• Geometry and rigidity of mapping class groups (2008, background): “Note that in Hamenstädt’s approach [27] the homological statement comes directly.”