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A Jørgensen–Thurston theorem for homomorphisms

Yi Liu

Algebraic & Geometric Topology 12 (2012) 1301–1311

DOI: 10.2140/agt.2012.12.1301
Abstract

We provide a description of the structure of the set of homomorphisms from a finitely generated group to any torsion-free (3–dimensional) Kleinian group with uniformly bounded finite covolume. This is analogous to the Jørgensen–Thurston Theorem in hyperbolic geometry.

Keywords

hyperbolic geometry, limit group, Dehn extension
Mathematical Subject Classification

Primary: 57M07

Secondary: 20F65, 57M50
References
Publication

Received: 27 December 2011
Revised: 22 March 2012
Accepted: 4 April 2012
Published: 11 June 2012
Authors
Yi Liu
Department of Mathematics
University of California at Berkeley
970 Evans Hall
Berkeley CA 94720-3840
USA
http://math.berkeley.edu/~yliu