Subfactors and 1+1-dimensional TQFTs
arXiv:math/0507050 · doi:10.1142/S0129167X07003923
Abstract
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.
57 pages, 9 figures