Examples of pleating varieties for twice punctured tori



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Díaz Sánchez, Raquel and Series, Caroline (2004) Examples of pleating varieties for twice punctured tori. Transactions of the American Mathematical Society, 356 (2). pp. 621-658. ISSN 0002-9947

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Official URL: http://www.ams.org/journals/tran/2004-356-02/S0002-9947-03-03179-9/S0002-9947-03-03179-9.pdf


We give an explicit description of some pleating varieties (sets with a fixed set of bending lines in the convex hull boundary) in the quasi-Fuchsian space of the twice punctured torus. In accordance with a conjecture of the second author, we show that their closures intersect Fuchsian space in the simplices of minima introduced by Kerckhoff. All computations are done using complex Fenchel-Nielsen coordinates for quasi-Fuchsian space referred to a maximal system of curves.

Item Type:Article
Uncontrolled Keywords:Kleinian groups; Fuchsian groups and their generalizations
Subjects:Sciences > Mathematics > Geometry
ID Code:15711
Deposited On:21 Jun 2012 09:16
Last Modified:18 Feb 2019 12:36

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