The quantum Teichmuller space as a noncommutative algebraic object
几何拓扑
2008-02-29 v3 量子代数
摘要
We consider the quantum Teichmuller space of the punctured surface introduced by Chekhov-Fock-Kashaev, and formalize it as a noncommutative deformation of the space of algebraic functions on the Teichmuller space of the surface. In order to apply it in 3-dimensional topology, we put more attention to the details involving small surfaces.
引用
@article{arxiv.math/0408361,
title = {The quantum Teichmuller space as a noncommutative algebraic object},
author = {Xiaobo Liu},
journal= {arXiv preprint arXiv:math/0408361},
year = {2008}
}
备注
Revised version. 15 pages, 4 figures, AmsLaTeX file. A few misprints corrected