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

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dc.creatorSato, Nobuya
dc.creatorWakui, Michihisa
dc.date2002-10-23
dc.date2003-03-21
dc.date.accessioned2026-07-07T04:52:17Z
dc.date.available2026-07-07T04:52:17Z
dc.descriptionIn 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.
dc.descriptionPublished 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 292
dc.identifierhttps://arxiv.org/abs/math/0210368
dc.identifierhttp://arxiv.org/abs/math/0210368
dc.identifierGeom.Topol.Monographs 4 (2002) 281-294
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65412
dc.subjectQuantum Algebra
dc.subjectGeometric Topology
dc.subject57R56, 81T45, 46L37, 57M25, 57N10
dc.title(2+1)-dimensional topological quantum field theory with a Verlinde basis and Turaev-Viro-Ocneanu invariants of 3-manifolds
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