Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometry of the mapping class groups I: Boundary amenability   We construct a geometric model for the mapping class group M of a
non-exceptional oriented surface of finite type and use it to show that the
action of M on the compact Hausdorff space of complete geodesic laminations is
topologically amenable. As a consequence, the Novikov higher signature
conjecture holds for every subgroup of M.

35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
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The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga