Subfactors and 1+1-dimensional TQFTs

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We construct a certain `cobordism category' ${\cal D}$ 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 ${\cal D}$, on the one hand, and Jones' subfactor planar algebras, on the other.
57 pages, 9 figures

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Quantum Algebra, Operator Algebras, 46L37

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http://salesiana.dossiersoluciones.com/handle/123456789/183308

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0507050
 http://arxiv.org/abs/math/0507050
 Int.J.Math.18:69-112,2007
 doi:10.1142/S0129167X07003923

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arXiv