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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

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