2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65412In this article, we discuss a (2+1)-dimensional topological quantum field theory, for short TQFT, with a Verlinde basis. As a conclusion of this general theory, we have a Dehn surgery formula. We show that Turaev-Viro-Ocneanu TQFT has a Verlinde basis. Several applications of this theorem are exposed. Based on Izumi's data of subfactors, we list several computations of Turaev-Viro-Ocneanu invariants for some 3-manifolds.Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon4/paper18.abs.html Version 2: Corrections made to calculations on page 292Quantum AlgebraGeometric Topology57R56, 81T45, 46L37, 57M25, 57N10text