Divergent sequences of Kleinian groups

Mathematics – Geometric Topology

Scientific paper

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32 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon1/paper21.abs.html

Scientific paper

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.

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