Quantum Traces in Quantum Teichm\"uller Theory
Quantum Algebra
2014-10-01 v1
Abstract
We prove that for the torus with one hole and p greater than or equal to 1 punctures and the sphere with four holes there is a family of quantum trace functions in the quantum Teichm\"uller space, analog to the non-quantum trace functions in Teichm\"uller space, satisfying the properties proposed by Chekhov and Fock in their paper "Observables in 3D Gravity and Geodesic Algebras."
Cite
@article{arxiv.0809.5118,
title = {Quantum Traces in Quantum Teichm\"uller Theory},
author = {Chris Hiatt},
journal= {arXiv preprint arXiv:0809.5118},
year = {2014}
}