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Examples of pleating varieties for twice punctured tori

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UNSPECIFIED (2003) 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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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: Journal Article
Subjects: Q Science > QA Mathematics
Journal or Publication Title: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
Publisher: AMER MATHEMATICAL SOC
ISSN: 0002-9947
Date: 2003
Volume: 356
Number: 2
Number of Pages: 38
Page Range: pp. 621-658
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/9186

Data sourced from Thomson Reuters' Web of Knowledge

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