Quantum Teichmüller spaces and Kashaev's 6j-symbols

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dc.creatorBai, Hua
dc.date2007-06-14
dc.date.accessioned2026-07-07T08:10:00Z
dc.date.available2026-07-07T08:10:00Z
dc.descriptionThe 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 $U_q(sl(2,\C))$. 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.
dc.description18 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0706.2026
dc.identifierhttp://arxiv.org/abs/0706.2026
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131716
dc.subjectGeometric Topology
dc.subjectQuantum Algebra
dc.subject57R56; 20G42
dc.titleQuantum Teichmüller spaces and Kashaev's 6j-symbols
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