Bounded cohomology of subgroups of mapping class groups

Details Bounded cohomology of subgroups of mapping class groups Bounded cohomology of subgroups of mapping class groups

2000-12-14

arxiv.org/abs/math/0012115v2

Geom. Topol. 6(2002) 69-89

Mathematics

Geometric Topology

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol6/paper4.abs.html

Scientific paper

We show that every subgroup of the mapping class group MCG(S) of a compact
surface S is either virtually abelian or it has infinite dimensional second
bounded cohomology. As an application, we give another proof of the
Farb-Kaimanovich-Masur rigidity theorem that states that MCG(S) does not
contain a higher rank lattice as a subgroup.

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