Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometry of the mapping class groups III: Quasi-isometric rigidity   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.

14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex