Subfactors and 1+1-dimensional TQFTs
Quantum Algebra
2008-11-26 v1 Operator Algebras
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.
Cite
@article{arxiv.math/0507050,
title = {Subfactors and 1+1-dimensional TQFTs},
author = {Vijay Kodiyalam and Vishwambhar Pati and V. S. Sunder},
journal= {arXiv preprint arXiv:math/0507050},
year = {2008}
}
Comments
57 pages, 9 figures