Published July 5, 2008
| Published
Journal Article
Open
Surface subgroups from homology
- Creators
- Calegari, Danny
Chicago
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Abstract
Let G be a word-hyperbolic group, obtained as a graph of free groups amalgamated along cyclic subgroups. If H2(G; ℚ) is nonzero, then G contains a closed hyperbolic surface subgroup. Moreover, the unit ball of the Gromov–Thurston norm on H2(G; ℝ) is a finite-sided rational polyhedron.
Additional Information
© Copyright 2008 Mathematical Sciences Publishers. Received: 4 April 2008. Revised: 9 June 2008. Accepted: 8 June 2008. Published: 5 July 2008. Proposed: Benson Farb. Seconded: Joan Birman, Dave Gabai. While writing this paper I was partially supported by NSF grant DMS 0707130. I would like to thank Mladen Bestvina, Benson Farb, Lars Louder and Dongping Zhuang for comments and some discussion. I am also very grateful to the anonymous referee for some quick and helpful corrections. The work in this paper builds largely on work done in [4] which benefited greatly from many discussions with Jason Manning.Attached Files
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Additional details
- Eprint ID
- 11509
- Resolver ID
- CaltechAUTHORS:CALgt08
- National Science Foundation
- DMS 0707130
- Created
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2008-08-26Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field