Geometry of the mapping class groups I: Boundary amenability

Details Geometry of the mapping class groups I: Boundary amenability Geometry of the mapping class groups I: Boundary amenability

2005-10-06

arxiv.org/abs/math/0510116v4

Mathematics

Group Theory

59 pages. Section 5 simplified and corrected. Writing improved. Details added

Scientific paper

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.

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