Quantum Teichmüller spaces and Kashaev’s 6j –symbols

نویسندگان

  • HUA BAI
  • Hua Bai
چکیده

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.

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تاریخ انتشار 2007