Parametrizations of some Teichmüller spaces by trace functions

DOI10.1090/S1088-4173-2013-00254-3zbMath1275.32014OpenAlexW1977726848MaRDI QIDQ2841087

Toshihiro Nakanishi, Gou Nakamura

Publication date: 24 July 2013

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1088-4173-2013-00254-3

zbMATH Keywords

Teichmüller spaceFuchsian groupslength functions

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (3)

Trace parameters for Teichmüller space of genus 2 surfaces and mapping class group ⋮ Parametrizations of Teichmüller spaces by trace functions and action of mapping class groups ⋮ Teichmüller space and the mapping class group of the twice punctured torus

Cites Work

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• Geodesic length functions and the Nielsen problem
• Global real analytic length parameters for Teichmüller spaces
• Two generator discrete free products
• An algorithm for 2-generator Fuchsian groups
• On geometric parametrization of Teichmüller spaces

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