BooksirmaCollected Volumepp. 761–782

On quantum moduli space of flat PSL₂(ℝ)-connections on a punctured surface

  • Rinat Kashaev

    Université de Genève, Switzerland
On quantum moduli space of flat PSL₂(ℝ)-connections on a punctured surface cover

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Abstract

Penner’s decorated Teichmüller space of a punctured surface can be generalized to a decorated moduli space of flat irreducible PSL2(ℝ)-connections with parabolicity conditions around punctures. This space, similarly to the decorated Teichmüller space, admits a parametrization which is well suited for quantization. The quantum ‘ax + b’ group of Woronowicz and Zakrzewski leads to a viable quantum theory.