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