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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.09003 |
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| _version_ | 1866908763477245952 |
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| author | Molander, Melody |
| author_facet | Molander, Melody |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_09003 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Well-Defined Jellyfish Algorithm for the Affine $E_7$ Subfactor Planar Algebra Molander, Melody Quantum Algebra Geometric Topology Operator Algebras 18M30, 57K10, 18M15, 18M20, 46M99, 46L37 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. |
| title | A Well-Defined Jellyfish Algorithm for the Affine $E_7$ Subfactor Planar Algebra |
| topic | Quantum Algebra Geometric Topology Operator Algebras 18M30, 57K10, 18M15, 18M20, 46M99, 46L37 |
| url | https://arxiv.org/abs/2601.09003 |