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Categories generated by a trivalent vertex

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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

URI

http://hdl.handle.net/1885/233371

Collections

ANU Research Publications

Source

Selecta Mathematica

Type

Journal article

Book Title

Entity type

Access Statement

Open Access

License Rights

DOI

10.1007/s00029-016-0240-3

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Description
1501.06869.pdf (1.39 MB)
Author Accepted Manuscript

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