Computations of Turaev-Viro-Ocneanu invariants of 3-manifolds from subfactors

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dc.creatorSato, Nobuya
dc.creatorWakui, Michihisa
dc.date2002-08-30
dc.date.accessioned2026-07-07T04:50:28Z
dc.date.available2026-07-07T04:50:28Z
dc.descriptionIn this paper, we establish a rigorous correspondence between the two tube algebras, that one comes from the Turaev-Viro-Ocneanu TQFT introduced by Ocneanu and another comes from the sector theory introduced by Izumi, and construct a canonical isomorphism between the centers of the two tube algebras, which is a conjugate linear isomorphism preserving the products of the two algebras and commuting with the actions of SL(2,Z). Via this correspondence and the Dehn surgery formula, we compute Turaev-Viro-Ocneanu invariants from several subfactors for basic 3-manifolds including lens spaces and Brieskorn 3-manifolds by using Izumi's data written in terms of sectors.
dc.description32 pages, 20 figures
dc.identifierhttps://arxiv.org/abs/math/0208242
dc.identifierhttp://arxiv.org/abs/math/0208242
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64807
dc.subjectOperator Algebras
dc.subjectGeometric Topology
dc.subjectQuantum Algebra
dc.subject46L37,57N10
dc.titleComputations of Turaev-Viro-Ocneanu invariants of 3-manifolds from subfactors
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