Categories generated by a trivalent vertex
Date
2017
Authors
Morrison, Scott
Peters, Emily
Snyder, Noah
Journal Title
Journal ISSN
Volume Title
Publisher
Springer Verlag
Abstract
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.
Description
Keywords
18D10 (Monoidal Categories), 05C10 (Planar graphs; geometric and topological aspects of graph theory), 57M27 (Invariants of knots and 3-manifolds)
Citation
Collections
Source
Selecta Mathematica
Type
Journal article
Book Title
Entity type
Access Statement
Open Access
License Rights
Restricted until
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Description
Author Accepted Manuscript