Hyperbolic semi-adequate links

DOI10.4310/CAG.2015.V23.N5.A3zbMath1339.57009arXiv1311.3008MaRDI QIDQ265095

Efstratia Kalfagianni, David Futer, Jessica S. Purcell

Publication date: 1 April 2016

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Abstract: We provide a diagrammatic criterion for semi-adequate links to be hyperbolic. We also give a conjectural description of the satellite structures of semi-adequate links. One application of our result is that the closures of sufficiently complicated positive braids are hyperbolic links.

Full work available at URL: https://arxiv.org/abs/1311.3008

zbMATH Keywords

hyperbolic2-edge loop conditionpolyhedral decompositionsemi-adequatestate graph

Mathematics Subject Classification ID

Related Items (10)

Hyperbolicity of augmented links in the thickened torus ⋮ State graphs and fibered state surfaces ⋮ Semi-adequate closed braids and volume ⋮ Geometrically and diagrammatically maximal knots ⋮ Extremal Khovanov homology of Turaev genus one links ⋮ Splittings of tangles and spatial graphs ⋮ A Jones slopes characterization of adequate knots ⋮ Geometry of alternating links on surfaces ⋮ Cusp volumes of alternating knots on surfaces ⋮ Lernaean knots and band surgery

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