Mathematics – Geometric Topology
Scientific paper
1998-06-17
J.Knot Theor.Ramifications 8 (1999) 569-587
Mathematics
Geometric Topology
20 pages with figures, minor modifications in the construction of TQFT's
Scientific paper
We work in the reduced SU(N,K) modular category as constructed recently by Blanchet. We define spin type and cohomological refinements of the Turaev-Viro invariants of closed oriented 3-manifolds and give a formula relating them to Blanchet's invariants. Roberts' definition of the Turaev-Viro state sum is exploited. Furthermore, we construct refined Turaev-Viro and Reshetikhin-Turaev TQFT's and study the relationship between them.
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