Factorization Rules in Quantum Teichmüller Theory

Details Factorization Rules in Quantum Teichmüller Theory Factorization Rules in Quantum Teichmüller Theory

2009-11-13

arxiv.org/abs/0911.2510v2

Mathematics

Geometric Topology

28 pages, 7 figures. Version 2: corrected misprints, added Figure 3, corrected the proof of Proposition 9 and Lemma 19

Scientific paper

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.

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