Snyder, Noah A rotational approach to triple point obstructions. (English) Zbl 1297.46044 Anal. PDE 6, No. 8, 1923-1928 (2013). Summary: Subfactors where the initial branching point of the principal graph is \(3\)-valent are subject to strong constraints called triple point obstructions. Since more complicated initial branches increase the index of the subfactor, triple point obstructions play a key role in the classification of small index subfactors. There are two strong triple point obstructions, called the triple-single obstruction and the quadratic tangles obstruction. Although these obstructions are very closely related, neither is strictly stronger. In this paper we give a more general triple point obstruction which subsumes both. The techniques are a mix of planar algebraic and connection-theoretic techniques with the key role played by the rotation operator. Cited in 1 ReviewCited in 3 Documents MSC: 46L37 Subfactors and their classification Keywords:subfactors; planar algebras; connections PDF BibTeX XML Cite \textit{N. Snyder}, Anal. PDE 6, No. 8, 1923--1928 (2013; Zbl 1297.46044) Full Text: DOI arXiv OpenURL References: This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.