Quadratic Tangles in Planar Algebras
Operator Algebras
2019-12-19 v2 Geometric Topology
Quantum Algebra
Representation Theory
Abstract
In planar algebras, we show how to project certain simple "quadratic" tangles onto the linear space spanned by "linear" and "constant" tangles. We obtain some corollaries about the principal graphs and annular structure of subfactors.
Cite
@article{arxiv.1007.1158,
title = {Quadratic Tangles in Planar Algebras},
author = {Vaughan F. R. Jones},
journal= {arXiv preprint arXiv:1007.1158},
year = {2019}
}