Quantum Teichmüller space and Kashaev algebra

Guo, Ren¹ ; Liu, Xiaobo²

¹School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA
²Department of Mathematics, Columbia University, 2990 Broadway, New York, NY 10027, USA

Algebraic and Geometric Topology, Tome 9 (2009) no. 3, pp. 1791-1824

Résumé

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.

Détail

DOI : 10.2140/agt.2009.9.1791

Keywords: Teichmüller space, quantization, Kashaev coordinates, noncommutative algebra

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