Factorization Rules in Quantum Teichm\"uller Theory
Geometric Topology
2014-10-01 v2 Mathematical Physics
math.MP
Quantum Algebra
Abstract
We study the representation theory of the quantum Teichmueller space when going to infinity in the classical Teichmueller space. The geometric ingredients are the extension of Thurston's shear coordinates to the augmented Teichmueller space and the study of the Weil-Petersson Poisson structure for this extension. The result is analogous to the factorization rule found in conformal field theory.
Keywords
Cite
@article{arxiv.0911.2510,
title = {Factorization Rules in Quantum Teichm\"uller Theory},
author = {Julien Roger},
journal= {arXiv preprint arXiv:0911.2510},
year = {2014}
}
Comments
28 pages, 7 figures. Version 2: corrected misprints, added Figure 3, corrected the proof of Proposition 9 and Lemma 19