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Complex hyperbolic Kleinian groups with limit set a wild knot
Authors:Francisco Dutenhefner
Affiliation:Departamento de Matemática, Universidade Federal de Minas Gerais, Belo Horizonte, MG 30123-970, Brazil
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).
Keywords:32H20   20H10   22E40   57S30   32G07   32C16
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