Contracting orbits in Outer space

被引：2
|
作者：
Dowdall, Spencer [1 ]
Taylor, Samuel J. [2 ]
机构：
[1] Vanderbilt Univ, Dept Math, 1326 Stevenson Ctr, Nashville, TN 37240 USA
[2] Temple Univ, Dept Math, 1805 North Broad St, Philadelphia, PA 19122 USA
来源：
MATHEMATISCHE ZEITSCHRIFT | 2019年 / 293卷 / 1-2期
基金：
美国国家科学基金会;
关键词：
COMPLEX; BOUNDARY;
D O I：
10.1007/s00209-019-02227-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that strongly contracting geodesics in Outer space project to parameterized quasigeodesics in the free factor complex. This result provides a converse to a theorem of Bestvina-Feighn, and is used to give conditions for when a subgroup of Out(F) has a quasi-isometric orbit map into the free factor complex. It also allows one to construct many new examples of strongly contracting geodesics in Outer space.
引用
收藏
页码：767 / 787
页数：21
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