2013•Unpublished venueRequires access

QUANTUM TRACES IN QUANTUM TEICHMULLER THEORY

Chris Hiatt

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Abstract

Abstract. 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 in [3]. 1.

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What this paper is about

Abstract. 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 in [3]. 1.

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Available abstract

Abstract. 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 in [3]. 1.

Key concepts: TRACE (psycholinguistics), Mathematics, Fock space, Torus, Quantum, Geodesic, Quantum gravity, Pure mathematics

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