An analog of a modular functor from quantized Teichmüller theory

  • Jörg Teschner

    Freie Universität Berlin, Germany
An analog of a  modular functor from quantized Teichmüller theory cover
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Abstract

We review the quantization of Teichmüller spaces as initiated by Kashaev and Checkov–Fock. It is shown that the quantized Teichmüller spaces have factorization properties similar to those required in the definition of a modular functor.