Constructing group actions on quasi-trees and applications to mapping class groups

被引：0
作者：
Mladen Bestvina
Ken Bromberg
Koji Fujiwara
机构：
[1] University of Utah,Department of Mathematics
[2] Kyoto University,Department of Mathematics
来源：
Publications mathématiques de l'IHÉS | 2015年 / 122卷
关键词：
Asymptotic Dimension; Cayley Graph; Mapping Class Group; Hyperbolic Group; Cayley Tree;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A quasi-tree is a geodesic metric space quasi-isometric to a tree. We give a general construction of many actions of groups on quasi-trees. The groups we can handle include non-elementary (relatively) hyperbolic groups, CAT(0) groups with rank 1 elements, mapping class groups and Out(Fn). As an application, we show that mapping class groups act on finite products of δ-hyperbolic spaces so that orbit maps are quasi-isometric embeddings. We prove that mapping class groups have finite asymptotic dimension.
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页码：1 / 64
页数：63
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