Complex Geometry of Universal Teichm¨uller Space

DOI10.5890/DNC.2020.12.009zbMath1494.32005OpenAlexW3047378761MaRDI QIDQ5087624

Armen Glebovich Sergeev

Publication date: 1 July 2022

Published in: The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5890/dnc.2020.12.009

zbMATH Keywords

universal Teichmüller spaceKähler-Fréchet manifold

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60)

Cites Work

• Lectures on universal Teichmüller space
• Coadjoint orbits of the Virasoro group
• 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
• In search of infinite-dimensional Kähler geometry
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