Quantum Teichmüller space and Kashaev algebra
arXiv:0905.0895 · doi:10.2140/agt.2009.9.1791
Abstract
Kashaev algebra associated to a surface is a noncommutative deformation of the algebra of rational functions of Kashaev coordinates. For two arbitrary complex numbers, there is a generalized Kashaev algebra. The relationship between the shear coordinates and Kashaev coordinates induces a natural relationship between the quantum Teichmüller space and the generalized Kashaev algebra.
26 pages, 5 figures
Cited by in corpus (5)
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- Quantum traces for representations of surface groups in SL_2
- Quantum Teichmüller space from quantum plane
- The dilogarithmic central extension of the Ptolemy-Thompson group via the Kashaev quantization
- Irreducible decomposition for local representations of quantum Teichmüller space