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