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(2+1)–dimensional topological quantum field theory with a Verlinde basis and Turaev–Viro–Ocneanu invariants of 3–manifolds

Nobuya Sato, Michihisa Wakui
2002 Geometry and Topology Monographs   unpublished
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.
doi:10.2140/gtm.2002.4.281 fatcat:lzqhfrv7jbcwzcxtyophb2azsa