Geodesic
Quantum traces in quantum Teichmüller theory
Hiatt, Christopher1
1Department of Mathematics and Computer Science, University of Texas of the Permian Basin, Midland, Texas, USA
Algebraic and Geometric Topology, Tome 10 (2010) no. 3, pp. 1245-1283
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We prove that for the torus with one hole and p ≥ 1 punctures and the sphere with four holes there is a family of quantum trace functions in the quantum Teichmüller space, analog to the non-quantum trace functions in Teichmüller space, satisfying the properties proposed by Chekhov and Fock.

DOI : 10.2140/agt.2010.10.1245
Keywords: Teichmüller, quantum, traces, skein relation, ideal triangulation, punctured torus, punctured sphere

Hiatt, Christopher  1

1 Department of Mathematics and Computer Science, University of Texas of the Permian Basin, Midland, Texas, USA 
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Hiatt, Christopher. Quantum traces in quantum Teichmüller theory. Algebraic and Geometric Topology, Tome 10 (2010) no. 3, pp. 1245-1283. doi: 10.2140/agt.2010.10.1245

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