A Uniqueness Property for the Quantization of Teichmüller Spaces

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dc.creatorBai, Hua
dc.date2005-09-28
dc.date.accessioned2026-07-07T06:19:54Z
dc.date.available2026-07-07T06:19:54Z
dc.descriptionChekhov, Fock and Kashaev introduced a quantization of the Teichmüller space $\mathcal{T}^q(S)$ of a punctured surface $S$, and an exponential version of this construction was developed by Bonahon and Liu. The construction of the quantum Teichmüller space 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.
dc.description14 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0509679
dc.identifierhttp://arxiv.org/abs/math/0509679
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95184
dc.subjectGeometric Topology
dc.subjectQuantum Algebra
dc.subject57M50; 57R56; 20G42
dc.titleA Uniqueness Property for the Quantization of Teichmüller Spaces
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