#### Volume 1 (1998)

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Divergent sequences of Kleinian groups

### Ken’ichi Ohshika

Geometry & Topology Monographs 1 (1998) 419–450
DOI: 10.2140/gtm.1998.1.419
 arXiv: math.GT/9810200
##### Abstract
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One of the basic problems in studying topological structures of deformation spaces for Kleinian groups is to find a criterion to distinguish convergent sequences from divergent sequences. In this paper, we shall give a sufficient condition for sequences of Kleinian groups isomorphic to surface groups to diverge in the deformation spaces.

 Dedicated to Prof David Epstein on the occasion of his 60th birthday.
##### Keywords
Kleinian group, hyperbolic $3$–manifold, deformation space
Primary: 57M50
Secondary: 30F40