Classical and quantum Teichmüller spaces

DOI10.1070/RM2013v068n03ABEH004839zbMath1285.30026OpenAlexW2037828615MaRDI QIDQ2854101

Alexander Vasil'ev, Armen Glebovich Sergeev

Publication date: 17 October 2013

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm2013v068n03abeh004839

zbMATH Keywords

Teichmüller spaceBeltrami differentialgeometric quantizationquasiconformal mapuniversal Teichmüller spacequasisymmetric homeomorphism

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Geometry and quantization, symplectic methods (81S10) Teichmüller theory for Riemann surfaces (30F60) Quasiconformal mappings in the complex plane (30C62) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

Related Items (3)

Editorial. Dedication to Alexander Vasil'ev (1962--2016) ⋮ Quantization of the Sobolev space of half-differentiable functions. II ⋮ In memoriam Alexander Vasil'ev (1962--2016)

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