CELL DECOMPOSITIONS OF TEICHMULLER SPACES OF SURFACES WITH BOUNDARY

被引：3

作者：

Guo, Ren ^{[1
]}

Luo, Feng ^{[2
]}

机构：

[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

[2] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2011年 / 253卷 / 02期

基金：

美国国家科学基金会;

关键词：

Teichmuller space; cell decomposition; arc complex; Delaunay decomposition; psi(h)-coordinates;

D O I：

10.2140/pjm.2011.253.423

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A family of coordinates psi(h) for the Teichmuller space of a compact surface with boundary was introduced by the second author. Mondello showed that the coordinate psi(0) can be used to produce a natural cell decomposition of the Teichmuller space, invariant under the action of the mapping class group. In this paper, we show that, for any h >= 0, the coordinate psi(h) produces a natural cell decomposition of the Teichmuller space.

引用

页码：423 / 438

页数：16

共 14 条

[1] Groupoid extensions of mapping class representations for bordered surfaces [J].