2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77049We 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.20 pages with figures, minor modifications in the construction of TQFT'sGeometric Topology57M25, 57M50, 17B37, 81Txxtext