Complex hyperbolic Kleinian groups with limit set a wild knot

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• 作者：Dutenhefner ; Francisco ; Gusevskii ; Nikolay
• 关键词：32H20 ; 20H10 ; 22E40 ; 57S30 ; 32G07 ; 32C16 ; Complex hyperbolic Kleinian groups ; Teichmü ; ller space ; Toledo's invariant
• 刊名：Topology
• 出版年：2004
• 出版时间：May, 2004
• 年：2004
• 卷：43
• 期：3
• 页码：677-696
• 全文大小：503 K

文摘

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).