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2008 Surface subgroups from homology
Danny Calegari
Geom. Topol. 12(4): 1995-2007 (2008). DOI: 10.2140/gt.2008.12.1995

Abstract

Let G be a word-hyperbolic group, obtained as a graph of free groups amalgamated along cyclic subgroups. If H2(G;) is nonzero, then G contains a closed hyperbolic surface subgroup. Moreover, the unit ball of the Gromov–Thurston norm on H2(G;) is a finite-sided rational polyhedron.

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Danny Calegari. "Surface subgroups from homology." Geom. Topol. 12 (4) 1995 - 2007, 2008. https://doi.org/10.2140/gt.2008.12.1995

Information

Received: 4 April 2008; Revised: 9 June 2008; Accepted: 8 June 2008; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1185.20046
MathSciNet: MR2431013
Digital Object Identifier: 10.2140/gt.2008.12.1995

Subjects:
Primary: 20F65, 20F67
Secondary: 57M07

Rights: Copyright © 2008 Mathematical Sciences Publishers

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