Bounded cohomology of subgroups of mapping class groups

被引：190
作者：
Bestvina, Mladen [1 ]
Fujiwara, Koji
机构：
[1] Univ Utah, Dept Math, Salt Lake City, UT 84112 USA
来源：
GEOMETRY & TOPOLOGY | 2002年 / 6卷
基金：
美国国家科学基金会;
关键词：
Bounded cohomology; mapping class groups; hyperbolic groups;
D O I：
10.2140/gt.2002.6.69
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：69 / 89
页数：21
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