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ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
A Jørgensen–Thurston theorem for homomorphisms

Yi Liu

Algebraic & Geometric Topology 12 (2012) 1301–1311
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 2010
Primary: 57M07
Secondary: 57M50, 20F65
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