Quantum Teichm\"uller space and Kashaev algebra
Geometric Topology
2014-10-01 v1 Quantum 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 Teichm\"uller space and the generalized Kashaev algebra.
Cite
@article{arxiv.0905.0895,
title = {Quantum Teichm\"uller space and Kashaev algebra},
author = {Ren Guo and Xiaobo Liu},
journal= {arXiv preprint arXiv:0905.0895},
year = {2014}
}
Comments
26 pages, 5 figures