Title: Complex hyperbolic Kleinian groups with limit set a wild knot
Abstract: We construct quasi-Fuchsian groups acting on two-dimensional complex hyperbolic space with limit set a wild knot. Also, we study the Teichmüller space T(G) of faithful, discrete, type-preserving representations of a Fuchsian group G of the first kind with parabolic elements in complex hyperbolic space. We show that T(G) is not connected, and that the Toledo invariant does not distinguish different connected components of T(G).
Publication Year: 2004
Publication Date: 2004-05-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 11
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