Geometry of the Mapping Class Groups I: Boundary Amenability
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چکیده
We construct a geometric model for the mapping class group M(S) of a non-exceptional oriented surface S of genus g with m punctures and use it to show that the action of M(S) on the compact Hausdorff space of complete geodesic laminations for S is topologically amenable. As a consequence, the Novikov higher signature conjecture holds for every subgroup of
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تاریخ انتشار 2005