Geometry & Topology Monographs 1 (1998), The Epstein Birthday Schrift, paper no. 21, pages 419-450.

Divergent sequences of Kleinian groups

Ken'ichi Ohshika

Abstract. 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.

Keywords. Kleinian group, hyperbolic 3-manifold, deformation space

AMS subject classification. Primary: 57M50. Secondary: 30F40.

E-print: arXiv:math.GT/9810200

Submitted: 13 November 1997. Published: 29 October 1998.

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Ken'ichi Ohshika
Graduate School of Mathematical Sciences
University of Tokyo
Komaba, Meguro-ku, Tokyo 153, Japan
Email: ohshika@ms.u-tokyo.ac.jp

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