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Bounded cohomology of
subgroups of mapping class groups
Mladen Bestvina and Koji Fujiwara |
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Geometry & Topology 6 (2002) 69–89
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DOI: 10.2140/gt.2002.6.69
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arXiv: math.GT/0012115 |
Abstract |
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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. |
Keywords
Bounded cohomology, mapping class groups, hyperbolic groups
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Mathematical Subject Classification 2000
Primary: 57M07, 57N05
Secondary: 57M99
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References |
Forward citations |
Publication
Received: 15 December 2000
Revised: 28 February 2002
Accepted: 28 February 2002
Published: 1 March 2002
Proposed: Joan Birman
Seconded: Dieter Kotschick, Steven Ferry
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Authors |
| Mladen Bestvina | |
| Mathematics Department University of Utah 155 South 1400 East JWB 233 Salt Lake City Utah 84112 USA |
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| Koji Fujiwara | |
| Mathematics Institute Tohoku University Sendai 980-8578 Japan |
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