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arXiv · 0809.5118

Quantum Traces in Quantum Teichmüller Theory

Chris Hiatt
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Abstract

We prove that for the torus with one hole and p greater than or equal to 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 in their paper "Observables in 3D Gravity and Geodesic Algebras."

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Chris Hiatt. 2008-09-30. Quantum Traces in Quantum Teichmüller Theory. https://doi.org/10.2140/agt.2010.10.1245

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