English

A Jorgensen-Thurston theorem for homomorphisms

Geometric Topology 2014-10-01 v2 Group Theory

Abstract

In this note, we provide a description of the structure 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 Jorgensen-Thurston Theorem in hyperbolic geometry.

Keywords

Cite

@article{arxiv.1109.6592,
  title  = {A Jorgensen-Thurston theorem for homomorphisms},
  author = {Yi Liu},
  journal= {arXiv preprint arXiv:1109.6592},
  year   = {2014}
}

Comments

16 pages, 4 figures

R2 v1 2026-06-21T19:12:43.164Z