Quantum Traces in Quantum Teichmüller Theory

Details Quantum Traces in Quantum Teichmüller Theory Quantum Traces in Quantum Teichmüller Theory

2008-09-30

arxiv.org/abs/0809.5118v1

Mathematics

Quantum Algebra

Scientific paper

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 Teichm\"uller space, analog to the non-quantum trace
functions in Teichm\"uller space, satisfying the properties proposed by Chekhov
and Fock in their paper "Observables in 3D Gravity and Geodesic Algebras."

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