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Categories generated by a trivalent vertex

Morrison, Scott; Peters, Emily; Snyder, Noah


This is the first paper in a general program to automate skein theoretic arguments. In this paper, we study skein theoretic invariants of planar trivalent graphs. Equivalently, we classify trivalent categories, which are nondegenerate pivotal tensor categories over C generated by a symmetric self-dual simple object X and a rotationally invariant morphism 1 → X⊗X⊗X.

CollectionsANU Research Publications
Date published: 2017
Type: Journal article
Source: Selecta Mathematica
DOI: 10.1007/s00029-016-0240-3
Access Rights: Open Access


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