dorsal/arxiv
View SchemaA Well-Defined Jellyfish Algorithm for the Affine $E_7$ Subfactor Planar Algebra
| Authors | Melody Molander |
|---|---|
| Categories | |
| ArXiv ID | 2601.09003vv1 |
| URL | https://arxiv.org/abs/2601.09003 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
In this paper, we contribute to the Kuperberg program by giving a diagrammatic presentation of generators and relations for the affine $E_7$ unshaded subfactor planar algebra. Using this presentation, we prove that its jellyfish algorithm is a well-defined surjection onto $\mathbb{C}$. In particular, this shows that the jellyfish algorithm is an invariant on closed diagrams for this planar algebra.
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"abstract": "In this paper, we contribute to the Kuperberg program by giving a diagrammatic presentation of generators and relations for the affine $E_7$ unshaded subfactor planar algebra. Using this presentation, we prove that its jellyfish algorithm is a well-defined surjection onto $\\mathbb{C}$. In particular, this shows that the jellyfish algorithm is an invariant on closed diagrams for this planar algebra.",
"arxiv_id": "2601.09003",
"authors": [
"Melody Molander"
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"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "A Well-Defined Jellyfish Algorithm for the Affine $E_7$ Subfactor Planar Algebra",
"url": "https://arxiv.org/abs/2601.09003",
"version": "v1"
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