Parametrizations of Teichmüller spaces by trace functions and action of mapping class groups

DOI10.1090/ecgd/289zbMath1337.32025OpenAlexW2314665424MaRDI QIDQ2802137

Gou Nakamura, Toshihiro Nakanishi

Publication date: 25 April 2016

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/ecgd/289

zbMATH Keywords

Teichmüller spacemapping class group

Mathematics Subject Classification ID

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

Related Items (1)

Teichmüller space and the mapping class group of the twice punctured torus

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the global real analytic coordinates for Teichmüller spaces
• Lifting representations to covering groups
• Parametrization of Möbius groups acting in a disk
• The decorated Teichmüller space of punctured surfaces
• Finite groups of mapping classes of surfaces
• Geodesic length functions and Teichmüller spaces
• The parametrisation of the Teichmüller space by geodesic length functions
• 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
• Areas of two-dimensional moduli spaces
• Parametrizations of some Teichmüller spaces by trace functions
• On geometric parametrization of Teichmüller spaces
• Traces of commutators of Möbius transformations.
• Advances in the Theory of Riemann Surfaces. (AM-66)

This page was built for publication: Parametrizations of Teichmüller spaces by trace functions and action of mapping class groups