1998/06/30 by Anna Beliakova
Mathematics · #math.GT #msc:57M25 #msc:57M50 #msc:17B37 #msc:81Txx
published as J.Knot Theor.Ramifications 8 (1999) 569-587 · 20 pages with figures, minor modifications in the construction of TQFT's
arxiv created 1998/07/03 · arxiv updated 2009/11/30
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.