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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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.
|Uncontrolled Keywords:||Kleinian groups; Fuchsian groups and their generalizations|
|Subjects:||Sciences > Mathematics > Geometry|
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|Deposited On:||21 Jun 2012 11:16|
|Last Modified:||27 Nov 2012 17:11|
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