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

DOI10.2969/jmsj/84998499zbMath1478.32038OpenAlexW3176208916MaRDI QIDQ2058819

Toshihiro Nakanishi

Publication date: 10 December 2021

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/journal-of-the-mathematical-society-of-japan/volume-73/issue-4/Teichm%c3%bcller-space-and-the-mapping-class-group-of-the-twice/10.2969/jmsj/84998499.full

zbMATH Keywords

Teichmüller spacemapping class groupFuchsian groupsKleinian groups

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)

Cites Work

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• On the Kähler form of the moduli space of once punctured tori
• Finite groups of mapping classes of surfaces
• Geodesic length functions and Teichmüller spaces
• The parametrisation of the Teichmüller space by geodesic length functions
• Global real analytic angle parameters for Teichmüller spaces
• Intrinsic moduli on Riemann surfaces
• Parametrizations of Teichmüller spaces by trace functions and action of mapping class groups
• Parametrizations of some Teichmüller spaces by trace functions
• Matrix representations and the Teichmüller space of the twice punctured torus
• Finitely Maximal Fuchsian Groups
• Maximal Fuchsian groups
• The Nielsen realization problem
• A finite presentation of the mapping class group of a punctured surface

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