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2007 Quantum Teichmüller spaces and Kashaev's $6j$–symbols
Hua Bai
Algebr. Geom. Topol. 7(3): 1541-1560 (2007). DOI: 10.2140/agt.2007.7.1541

Abstract

The Kashaev invariants of 3–manifolds are based on 6j–symbols from the representation theory of the Weyl algebra, a Hopf algebra corresponding to the Borel subalgebra of Uq(sl(2,)). In this paper, we show that Kashaev’s 6j–symbols are intertwining operators of local representations of quantum Teichmüller spaces. This relates Kashaev’s work with the theory of quantum Teichmüller space, which was developed by Chekhov–Fock, Kashaev and continued by Bonahon–Liu.

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Hua Bai. "Quantum Teichmüller spaces and Kashaev's $6j$–symbols." Algebr. Geom. Topol. 7 (3) 1541 - 1560, 2007. https://doi.org/10.2140/agt.2007.7.1541

Information

Received: 23 July 2007; Accepted: 31 August 2007; Published: 2007
First available in Project Euclid: 20 December 2017

zbMATH: 1131.17005
MathSciNet: MR2366170
Digital Object Identifier: 10.2140/agt.2007.7.1541

Subjects:
Primary: 57R56
Secondary: 20G42

Rights: Copyright © 2007 Mathematical Sciences Publishers

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