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arXiv · 1511.06054

Quantum Teichmüller spaces and quantum trace map

Thang T. Q. Lê
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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 Teichmüller 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.

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Thang T. Q. Lê. 2016-10-26. Quantum Teichmüller spaces and quantum trace map. https://doi.org/10.1017/s1474748017000068

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