#### Volume 10, issue 3 (2010)

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Quantum traces in quantum Teichmüller theory

### Christopher Hiatt

Algebraic & Geometric Topology 10 (2010) 1245–1283
##### Abstract

We prove that for the torus with one hole and $p\ge 1$ 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.

##### Keywords
Teichmüller, quantum, traces, skein relation, ideal triangulation, punctured torus, punctured sphere
Primary: 81R05