Quantum Teichmüller space and Kashaev algebra

Ren Guo; Xiaobo Liu

doi:10.2140/agt.2009.9.1791

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Home > Journals > Algebr. Geom. Topol. > Volume 9 > Issue 3 > Article

2009 Quantum Teichmüller space and Kashaev algebra

Ren Guo, Xiaobo Liu

Algebr. Geom. Topol. 9(3): 1791-1824 (2009). DOI: 10.2140/agt.2009.9.1791

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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.

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Ren Guo. Xiaobo Liu. "Quantum Teichmüller space and Kashaev algebra." Algebr. Geom. Topol. 9 (3) 1791 - 1824, 2009. https://doi.org/10.2140/agt.2009.9.1791