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Theoretical and Mathematical Physics

, Volume 120, Issue 3, pp 1245–1259 | Cite as

A quantum Teichmüller space

  • V. V. Fock
  • L. O. Chekhov
Article

Abstract

We explicitly describe a noncommutative deformation of the *-algebra of functions on the Teichmüller space of Riemann surfaces with holes that is equivariant with respect to the action of the mapping class group.

Keywords

Modulus Space Simplicial Complex Conformal Block Homotopy Class Poisson Structure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic/Plenum Publishers 1999

Authors and Affiliations

  • V. V. Fock
    • 1
  • L. O. Chekhov
    • 2
  1. 1.Institute for Theoretical and Experimental PhysicsMoscowRussia
  2. 2.Steklov Mathematical InstituteRASMoscowRussia

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