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Examples of pleating varieties for twice punctured tori

Authors :
Díaz Sánchez, Raquel
Series, Caroline
Díaz Sánchez, Raquel
Series, Caroline
Publication Year :
2023

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.<br />Depto. de Álgebra, Geometría y Topología<br />Fac. de Ciencias Matemáticas<br />TRUE<br />pub

Details

Database :
OAIster
Notes :
application/pdf, 0002-9947, English
Publication Type :
Electronic Resource
Accession number :
edsoai.on1413945827
Document Type :
Electronic Resource