The Group of Quasisymmetric Homeomorphisms of the Circle and Quantization of the Universal Teichmüller Space

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2009
• Main Author: Sergeev, A.G.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149245
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Group of Quasisymmetric Homeomorphisms of the Circle and Quantization of the Universal Teichmüller Space / A.G. Sergeev // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 18 назв. — англ.

In the first part of the paper we describe the complex geometry of the universal Teichmüller space T, which may be realized as an open subset in the complex Banach space of holomorphic quadratic differentials in the unit disc. The quotient S of the diffeomorphism group of the circle modulo Möbius tr...