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A uniqueness property for the quantization of Teichmüller Spaces

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Abstract

Chekhov, Fock and Kashaev introduced a quantization of the Teichmüller space of a punctured surface S, and an exponential version \({\mathcal{T}}^q(S)\) of this construction was developed by Bonahon and Liu. The construction of \({\mathcal{T}}^q(S)\) crucially depends on certain coordinate change isomorphisms between the Chekhov–Fock algebras associated to different ideal triangulations of S. We show that these coordinate change isomorphisms are essentially unique, once we require them to satisfy a certain number of natural conditions.

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  1. Department of Mathematics, University of Southern California, Los Angeles, CA, 90089-2532, USA

    Hua Bai

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  1. Hua Bai
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Bai, H. A uniqueness property for the quantization of Teichmüller Spaces. Geom Dedicata 128, 1–16 (2007). https://doi.org/10.1007/s10711-007-9176-2

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  • DOI: https://doi.org/10.1007/s10711-007-9176-2

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