Factorization Rules in Quantum Teichm\"uller Theory
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spaceteichmuellertheoryextensionfactorizationquantumanalogousaugmented
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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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Cited by 1 Pith paper
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Quantized Geodesic Lengths for Teichm\"uller Spaces: Algebraic Aspects
Constructs quantized trace-of-monodromy via Bonahon-Wong maps and verifies Teschner recursion plus strong commutation for disjoint loops in Chekhov-Fock quantum Teichmüller theory.
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