A rough fundamental domain for Teichmüller spaces

DOI10.1090/S0002-9904-1977-14402-9zbMath0404.32011OpenAlexW2047923330MaRDI QIDQ4189494

Linda Keen

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1090/s0002-9904-1977-14402-9

zbMATH Keywords

Action of the Teichmueller Modular Group On These ModuliTeichmueller Modular Group

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Coverings of curves, fundamental group (14H30) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Families, moduli of curves (analytic) (14H15)

Related Items (8)

Computability Models: Algebraic, Topological and Geometric Algorithms ⋮ Algebraic representations of Teichmüller space ⋮ On a canonical quantization of 3D anti de Sitter pure gravity ⋮ Solving the open bosonic string in perturbation theory ⋮ Markov numbers, Mather’s β function and stable norm ⋮ Trace coordinates of Teichmüller space of Riemann surfaces of signature (0,4) ⋮ Reduction theory for mapping class groups and applications to moduli spaces ⋮ Trace identities from identities for determinants

Cites Work

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• A compactness theorem for Fuchsian groups of the second kind
• The modular group and Riemann surfaces of genus two
• Canonical polygons for finitely generated Fuchsian groups
• Intrinsic moduli on Riemann surfaces
• On boundaries of Teichmüller spaces and on Kleinian groups. I
• On boundaries of Teichmüller spaces and on Kleinian groups. II
• Abelian minimal surfaces
• Deformations and moduli of Riemann Surfaces with nodes and signatures.
• On Klein's Combination Theorem
• A Remark on Mahler's Compactness Theorem
• A Correction to "On Fricke Moduli"

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