Surface subgroups from homology

被引：23

作者：

Calegari, Danny ^{[1
]}

机构：

[1] CALTECH, Dept Math, Pasadena, CA 91125 USA

来源：

GEOMETRY & TOPOLOGY | 2008年 / 12卷

基金：

美国国家科学基金会;

关键词：

D O I：

10.2140/gt.2008.12.1995

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a word-hyperbolic group, obtained as a graph of free groups amalgamated along cyclic subgroups. If H-2(G;Q) is nonzero, then G contains a closed hyperbolic surface subgroup. Moreover, the unit ball of the Gromov-Thurston norm on H-2(G;R) is a finite-sided rational polyhedron.

引用

页码：1995 / 2007

页数：13

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