Volume 1 (1998)

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ISSN (electronic): 1464-8997
ISSN (print): 1464-8989
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
Mathematical Subject Classification
Primary: 57M50
Secondary: 30F40
References
Publication
Received: 13 November 1997
Revised: 15 October 1998
Published: 25 October 1998
Authors
Ken’ichi Ohshika
Graduate School of Mathematical Sciences
University of Tokyo
Komaba
Meguro-ku
Tokyo 153
Japan