Quantum Teichmüller space and Kashaev algebra

Details Quantum Teichmüller space and Kashaev algebra Quantum Teichmüller space and Kashaev algebra

2009-05-06

arxiv.org/abs/0905.0895v1

Algebr. Geom. Topol. 9 (2009) 1791--1824

Mathematics

Geometric Topology

26 pages, 5 figures

Scientific paper

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 Teichm\"uller space and the generalized Kashaev algebra.

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