In 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.
Keywords
Turaev–Viro–Ocneanu TQFT,
Verlinde basis, Dehn surgery formula, tube algebra
