Quantum Teichm\"uller spaces and quantum trace map
Geometric Topology
2019-02-27 v4
Abstract
We show how the quantum trace map of Bonahon and Wong can be constructed in a natural way using the skein algebra of Muller, which is an extension of the Kauffman bracket skein algebra of surfaces. We also show that the quantum Teichm\"uller space of a marked surface, defined by Chekhov-Fock (and Kashaev) in an abstract way, can be realized as a concrete subalgebra of the skew field of the skein algebra.
Keywords
Cite
@article{arxiv.1511.06054,
title = {Quantum Teichm\"uller spaces and quantum trace map},
author = {Thang T. Q. Lê},
journal= {arXiv preprint arXiv:1511.06054},
year = {2019}
}
Comments
Final version. To appear in Journal of the Institute of Mathematics of Jussieu