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

## Abstract

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 |
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Uncontrolled Keywords: | Kleinian groups; Fuchsian groups and their generalizations |

Subjects: | Sciences > Mathematics > Geometry |

ID Code: | 15711 |

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Deposited On: | 21 Jun 2012 09:16 |

Last Modified: | 06 Feb 2014 10:30 |

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