The boundary at infinity of the curve complex and the relative Teichmuller space

被引：6

作者：

Klarreich, Erica ^{[1
]}

机构：

[1] 1627 Blake St, Berkeley, CA 94703 USA

来源：

GROUPS GEOMETRY AND DYNAMICS | 2022年 / 16卷 / 02期

关键词：

Curve complex; boundary at infinity; relative Teichm?ller space; measured foliation; GEODESICS; GEOMETRY; LENGTH; ENDS;

D O I：

10.4171/GGD/662

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the boundary at infinity of the curve complex symbolscript of a surface symbolscript of finite type and the relative Teichmuller space symbolscript obtained from the Teichmuller space by collapsing each region where a simple closed curve is short to be a set of diameter 1. symbolscript and symbolscript are quasi-isometric, and Masur-Minsky have shown that symbolscript and symbolscript are hyperbolic in the sense of Gromov. We show that the boundary at infinity of symbolscript and symbolscript is the space of topological equivalence classes of minimal foliations on symbolscript

引用

页码：705 / 723

页数：19