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

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...

Full description

Bibliographic Details
Main Author: Armen G. Sergeev
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2009-02-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2009.015