Planar algebras and Kuperberg's 3-manifold invariant
Quantum Algebra
2007-05-23 v1 Operator Algebras
Abstract
We recapture Kuperberg's numerical invariant of 3-manifolds associated to a semisimple and cosemisimple Hopf algebra through a `planar algebra construction'. A result of possibly independent interest, used during the proof, which relates duality in planar graphs and Hopf algebras, is the subject of a final section.
Cite
@article{arxiv.math/0509302,
title = {Planar algebras and Kuperberg's 3-manifold invariant},
author = {Vijay Kodiyalam and V. S. Sunder},
journal= {arXiv preprint arXiv:math/0509302},
year = {2007}
}
Comments
19 pages, 9 figures