The quantum Teichmuller space as a noncommutative algebraic object

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We consider the quantum Teichmuller space of the punctured surface introduced by Chekhov-Fock-Kashaev, and formalize it as a noncommutative deformation of the space of algebraic functions on the Teichmuller space of the surface. In order to apply it in 3-dimensional topology, we put more attention to the details involving small surfaces.
Revised version. 15 pages, 4 figures, AmsLaTeX file. A few misprints corrected

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Geometric Topology, Quantum Algebra, 57R56 (Primary); 57M50, 20G42 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/155874

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0408361
 http://arxiv.org/abs/math/0408361

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arXiv