## Algebraic & Geometric Topology

### Quantum Teichmüller space and Kashaev algebra

#### 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.

#### Article information

Source
Algebr. Geom. Topol., Volume 9, Number 3 (2009), 1791-1824.

Dates
Accepted: 20 August 2009
First available in Project Euclid: 20 December 2017

https://projecteuclid.org/euclid.agt/1513797044

Digital Object Identifier
doi:10.2140/agt.2009.9.1791

Mathematical Reviews number (MathSciNet)
MR2550095

Zentralblatt MATH identifier
1181.57034

#### Citation

Guo, Ren; Liu, Xiaobo. Quantum Teichmüller space and Kashaev algebra. Algebr. Geom. Topol. 9 (2009), no. 3, 1791--1824. doi:10.2140/agt.2009.9.1791. https://projecteuclid.org/euclid.agt/1513797044

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