Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published July 5, 2008 | Published
Journal Article Open

Surface subgroups from homology

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

Published - CALgt08.pdf

Files

CALgt08.pdf
Files (231.8 kB)
Name Size Download all
md5:043745c979cddc1bdcea8d7f7968d94d
231.8 kB Preview Download

Additional details

Created:
August 22, 2023
Modified:
October 17, 2023