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Russian Mathematical Surveys, 2013, Volume 68, Issue 3, Pages 435–502
DOI: https://doi.org/10.1070/RM2013v068n03ABEH004839 (Mi rm9517) 		 
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
English version PDF (979 kB) Citations (4) Russian version article
References:
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DOI: https://doi.org/10.1070/RM2013v068n03ABEH004839
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.
Funding agency Grant number
Research Council of Norway 204726/V30
213440/BG
Russian Foundation for Basic Research 10-01-00178
11-01-12033-офи-м
Ministry of Education and Science of the Russian Federation НШ-7675.2010.1
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Received: 27.01.2013
Bibliographic databases:
Document Type: Article
UDC: 517.545+517.548
MSC: Primary 30C62, 30F60, 32G15, 81S10, 81T30; Secondary 30C75, 30F10, 30F35
Language: English
Original paper language: Russian
Citation: A. Yu. Vasiliev, A. G. Sergeev, “Classical and quantum Teichmüller spaces”, Russian Math. Surveys, 68:3 (2013), 435–502
Citation in format AMSBIB
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\by A.~Yu.~Vasiliev, A.~G.~Sergeev
\paper Classical and quantum Teichm\"uller spaces
\jour Russian Math. Surveys
\yr 2013
\vol 68
\issue 3
\pages 435--502
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\crossref{https://doi.org/10.1070/RM2013v068n03ABEH004839}
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Linking options:
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  • https://doi.org/10.1070/RM2013v068n03ABEH004839
  • https://www.mathnet.ru/eng/rm/v68/i3/p39
    • This publication is cited in the following 4 articles:
    1. Sergeev A.G., “Quantization of the Sobolev Space of Half-Differentiable Functions, II”, Russ. J. Math. Phys., 26:3 (2019), 401–405  crossref  mathscinet  isi
    2. “Dedication to Alexander Vasil'ev (1962–2016)”, Anal.Math.Phys., 8:4 (2018), 485  crossref
    3. “In Memoriam Alexander Vasil'ev (1962–2016)”, Anal.Math.Phys., 7:1 (2017), 1  crossref
    4. A. G. Sergeev, “Quantization of the Sobolev space of half-differentiable functions”, Sb. Math., 207:10 (2016), 1450–1457  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Statistics & downloads:
    Abstract page:1406
    Russian version PDF:526
    English version PDF:77
    References:92
    First page:95
     
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