Quantization of the universal Teichmüller space

DOI10.1134/S0081543808040135zbMath1179.53086OpenAlexW3162594083MaRDI QIDQ5895120

Armen Glebovich Sergeev

Publication date: 23 October 2009

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543808040135

zbMATH Keywords

quantizationuniversal Teichmüller space

Mathematics Subject Classification ID

Teichmüller theory for Riemann surfaces (30F60) Geometric quantization (53D50)

Cites Work

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• Diff(S\({}^ 1)\) and the Teichmüller spaces
• Hausdorff dimension of quasi-circles
• Unitary representations of some infinite dimensional groups
• Teichmüller theory and the universal period mapping via quantum calculus and the \(H^{1/2}\) space on the circle
• Some remarks on Teichmüller's space of Riemann surfaces
• A period mapping in universal Teichm\"uller space
• Linear Symmetries of Free Boson Fields

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