THE SPINE THAT WAS NO SPINE

被引：3

作者：

Pettet, Alexandra ^{[1
]}

Souto, Juan ^{[2
]}

机构：

[1] Stanford Univ, Dept Math, 450 Serra Mall,Bldg 380, Stanford, CA 94305 USA

[2] Univ Chicago, Dept Math, Chicago, IL 60637 USA

来源：

ENSEIGNEMENT MATHEMATIQUE | 2008年 / 54卷 / 3-4期

基金：

美国国家科学基金会;

关键词：

D O I：

10.5169/seals-109939

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let T-n be the Teichmuller space of flat metrics on the n-dimensional torus T-n and identify SLn Z with the corresponding mapping class group. We prove that the subset consisting of those points whose systoles generate pi(1)(T-n) is, for n >= 5, not contractible. In particular, y is not an SLn Z-equivariant deformation retract of T-n.

引用

页码：273 / 285

页数：13

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