Geodesic
A Jørgensen–Thurston theorem for homomorphisms
Liu, Yi1
1Department of Mathematics, University of California at Berkeley, 970 Evans Hall, Berkeley CA 94720-3840, USA
Algebraic and Geometric Topology, Tome 12 (2012) no. 3, pp. 1301-1311
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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.

DOI : 10.2140/agt.2012.12.1301
Classification : 57M07, 57M50, 20F65
Keywords: hyperbolic geometry, limit group, Dehn extension

Liu, Yi  1

1 Department of Mathematics, University of California at Berkeley, 970 Evans Hall, Berkeley CA 94720-3840, USA 
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Liu, Yi. A Jørgensen–Thurston theorem for homomorphisms. Algebraic and Geometric Topology, Tome 12 (2012) no. 3, pp. 1301-1311. doi: 10.2140/agt.2012.12.1301

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