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Examples of pleating varieties for twice punctured tori

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Díaz Sánchez, Raquel y 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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URL Oficial: http://www.ams.org/journals/tran/2004-356-02/S0002-9947-03-03179-9/S0002-9947-03-03179-9.pdf


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Resumen

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.


Tipo de documento:Artículo
Palabras clave:Kleinian groups; Fuchsian groups and their generalizations
Materias:Ciencias > Matemáticas > Geometría
Código ID:15711
Depositado:21 Jun 2012 09:16
Última Modificación:06 Feb 2014 10:30

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