A Well-Defined Jellyfish Algorithm for the Affine $E_7$ Subfactor Planar Algebra
Quantum Algebra
2026-01-15 v1 Geometric Topology
Operator Algebras
Abstract
In this paper, we contribute to the Kuperberg program by giving a diagrammatic presentation of generators and relations for the affine unshaded subfactor planar algebra. Using this presentation, we prove that its jellyfish algorithm is a well-defined surjection onto . In particular, this shows that the jellyfish algorithm is an invariant on closed diagrams for this planar algebra.
Cite
@article{arxiv.2601.09003,
title = {A Well-Defined Jellyfish Algorithm for the Affine $E_7$ Subfactor Planar Algebra},
author = {Melody Molander},
journal= {arXiv preprint arXiv:2601.09003},
year = {2026}
}
Comments
57 pages