SUBFACTORS AND 1+1-DIMENSIONAL TQFTs
VIJAY KODIYALAM, VISHWAMBHAR PATI, V. S. SUNDER
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Source: Crossref
Published: Jan 1, 2007
DOI: 10.1142/s0129167x07003923
Open original source ↗Source abstract
We construct a certain "cobordism category" [Formula: see text] whose morphisms are suitably decorated cobordism classes between similarly decorated closed oriented 1-manifolds, and show that there is essentially a bijection between (1+1-dimensional) unitary topological quantum field theories (TQFTs) defined on [Formula: see text], on the one hand, and Jones' subfactor planar algebras, on the other.
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