SUBFACTORS AND 1+1-DIMENSIONAL TQFTs

@inproceedings{Kodiyalam2007SUBFACTORSA1,
  title={SUBFACTORS AND 1+1-DIMENSIONAL TQFTs},
  author={Vijay Kodiyalam and Vishwambhar Pati and V. V. Shyam Sunder},
  year={2007}
}
We construct a certain "cobordism category" 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 , on the one hand, and Jones' subfactor planar algebras, on the other. 

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