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This article is cited in 4 scientific papers (total in 4 papers)
Classical and quantum Teichmüller spaces
A. Yu. Vasilieva, A. G. Sergeevb a University of Bergen, Norway
b Steklov Mathematical Institute of the Russian Academy of Sciences
Abstract:
Teichmüller theory is a ramified and rapidly developing area of mathematics which has multiple connections with other directions in the mathematical sciences and with their applications, first and foremost in mathematical physics. In this survey the main lines of development of this theory and its applications to string theory are presented in a historical context.
Bibliography: 128 titles.
Keywords:
Teichmüller space, Riemann surface, modulus of a family of curves, quasiconformal map, quasisymmetric homeomorphism, Beltrami differential, universal Teichmüller space, non-commutative geometry, geometric quantization.
Received: 27.01.2013
Citation:
A. Yu. Vasiliev, A. G. Sergeev, “Classical and quantum Teichmüller spaces”, Uspekhi Mat. Nauk, 68:3(411) (2013), 39–110; Russian Math. Surveys, 68:3 (2013), 435–502
Linking options:
https://www.mathnet.ru/eng/rm9517https://doi.org/10.1070/RM2013v068n03ABEH004839 https://www.mathnet.ru/eng/rm/v68/i3/p39
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Abstract page: | 1276 | Russian version PDF: | 463 | English version PDF: | 42 | References: | 75 | First page: | 95 |
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