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arXiv · 2609.27295

A diagrammatic presentation for every pivotal pointed fusion category

Chumeng Di·Anup Poudel
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Abstract

We provide a generators and relations presentation of pivotal pointed fusion categories, $Vec(G,ω,π)$. Unlike the well-known skeletal model, our presentation is strict and allows multiple isomorphic objects. Our main tool is skein theory, which allows us to apply topological tools to understand the relations of morphisms in the category.

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Chumeng Di, Anup Poudel. 2026-09-23. A diagrammatic presentation for every pivotal pointed fusion category. https://arxiv.org/abs/2609.27295

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