A Jørgensen–Thurston theorem for homomorphisms

Yi Liu

doi:10.2140/agt.2012.12.1301

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Home > Journals > Algebr. Geom. Topol. > Volume 12 > Issue 3 > Article

2012 A Jørgensen–Thurston theorem for homomorphisms

Yi Liu

Algebr. Geom. Topol. 12(3): 1301-1311 (2012). DOI: 10.2140/agt.2012.12.1301

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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.