Geodesic
Quantum Teichmüller spaces and Kashaev’s 6j–symbols
Bai, Hua1
1Department of Mathematics, University of Georgia, Athens GA 30602, USA
Algebraic and Geometric Topology, Tome 7 (2007) no. 3, pp. 1541-1560
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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, ℂ)). 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.

DOI : 10.2140/agt.2007.7.1541
Keywords: quantum Teichmüller space, Kashaev's $6j$–symbol

Bai, Hua  1

1 Department of Mathematics, University of Georgia, Athens GA 30602, USA 
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Bai, Hua. Quantum Teichmüller spaces and Kashaev’s 6j–symbols. Algebraic and Geometric Topology, Tome 7 (2007) no. 3, pp. 1541-1560. doi: 10.2140/agt.2007.7.1541

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