A Well-Defined Jellyfish Algorithm for the Affine E7 Subfactor Planar Algebra

Abstract

In this paper, we contribute to the Kuperberg program by giving a diagrammatic presentation of generators and relations for the affine E7 unshaded subfactor planar algebra. Using this presentation, we prove that its jellyfish algorithm is a well-defined surjection onto C. In particular, this shows that the jellyfish algorithm is an invariant on closed diagrams for this planar algebra.

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