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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 1999, Volume 226, Pages 163–179 (Mi tm536)  
This article is cited in 22 scientific papers (total in 22 papers)

Quantum Mapping Class Group, Pentagon Relation, and Geodesics

V. V. Focka, L. O. Chekhovb

a Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
b Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (2018 kB) Citations (22)
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Abstract: The mapping class group transformations that satisfy the pentagon relation are constructed for classical and quantum Teichmüller spaces coordinatized in terms of graphs. Classical and quantum geodesic algebras governed by the skein relations are discussed.
Received in April 1999
Bibliographic databases:
Document Type: Article
UDC: 530.1
Language: Russian
Citation: V. V. Fock, L. O. Chekhov, “Quantum Mapping Class Group, Pentagon Relation, and Geodesics”, Mathematical physics. Problems of quantum field theory, Collection of papers dedicated to the 65th anniversary of academician Lyudvig Dmitrievich Faddeev, Trudy Mat. Inst. Steklova, 226, Nauka, MAIK «Nauka/Inteperiodika», M., 1999, 163–179; Proc. Steklov Inst. Math., 226 (1999), 149–163
Citation in format AMSBIB
\Bibitem{FocChe99}
\by V.~V.~Fock, L.~O.~Chekhov
\paper Quantum Mapping Class Group, Pentagon Relation, and Geodesics
\inbook Mathematical physics. Problems of quantum field theory
\bookinfo Collection of papers dedicated to the 65th anniversary of academician Lyudvig Dmitrievich Faddeev
\serial Trudy Mat. Inst. Steklova
\yr 1999
\vol 226
\pages 163--179
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm536}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1782560}
\zmath{https://zbmath.org/?q=an:0983.32021}
\transl
\jour Proc. Steklov Inst. Math.
\yr 1999
\vol 226
\pages 149--163
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