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2013 A rotational approach to triple point obstructions
Noah Snyder
Anal. PDE 6(8): 1923-1928 (2013). DOI: 10.2140/apde.2013.6.1923

Abstract

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.

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Noah Snyder. "A rotational approach to triple point obstructions." Anal. PDE 6 (8) 1923 - 1928, 2013. https://doi.org/10.2140/apde.2013.6.1923

Information

Received: 3 October 2012; Revised: 22 January 2013; Accepted: 8 March 2013; Published: 2013
First available in Project Euclid: 20 December 2017

zbMATH: 1297.46044
MathSciNet: MR3198588
Digital Object Identifier: 10.2140/apde.2013.6.1923

Subjects:
Primary: 46L37

Keywords: connections , planar algebras , subfactors

Rights: Copyright © 2013 Mathematical Sciences Publishers

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Vol.6 • No. 8 • 2013
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