Abstract
We show that every subgroup of the mapping class group of a compact surface 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 does not contain a higher rank lattice as a subgroup.
Citation
Mladen Bestvina. Koji Fujiwara. "Bounded cohomology of subgroups of mapping class groups." Geom. Topol. 6 (1) 69 - 89, 2002. https://doi.org/10.2140/gt.2002.6.69
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