Conformal Dehn surgery and the shape of Maskit’s embedding

Parkkonen, Jouni

doi:10.1090/S1088-4173-04-00116-X

Conformal Dehn surgery and the shape of Maskit’s embedding
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Conform. Geom. Dyn. 8 (2004), 143-157 Request permission

Abstract:

We study the geometric limits of sequences of loxodromic cyclic groups which arise from conformal Dehn surgery. The results are applied to obtain an asymptotic description of the shape of the main cusp of the Maskit embedding of the Teichmüller space of once-punctured tori.

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The geometry and topology of three-manifolds

The shape of the boundary of Maskit’s embedding of the Teichmüller space of punctured tori