  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.
