A characterisation of alternating knot exteriors

DOI10.2140/gt.2017.21.2353zbMath1375.57011arXiv1511.04945OpenAlexW2177841932MaRDI QIDQ2356966

Joshua A. Howie

Publication date: 7 June 2017

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.04945

zbMATH Keywords

triangulationnormal surfacealternating knotalternating linkspanning surface

Mathematics Subject Classification ID

Related Items (19)

A characterization of alternating links in thickened surfaces ⋮ Normal and Jones surfaces of knots ⋮ The classification of quasi-alternating Montesinos links ⋮ A characterization of alternating link exteriors in terms of cubed complexes ⋮ On the cosmetic crossing conjecture for special alternating links ⋮ A note on knot Floer thickness and the dealternating number ⋮ Computing a link diagram from its exterior ⋮ A note on thickness of knots ⋮ A characterization of almost alternating knots ⋮ Infinite families of hyperbolic prime knots with alternation number 1 and dealternating number n ⋮ Hoste’s conjecture for the 2-bridge knots ⋮ Extremal Khovanov homology of Turaev genus one links ⋮ Quandle coloring conditions and zeros of the Alexander polynomials of Montesinos links ⋮ Remarks on Jones Slopes and surfaces of knots ⋮ A Jones slopes characterization of adequate knots ⋮ Geometry of alternating links on surfaces ⋮ Knots and 4-manifolds ⋮ Cyclic branched covers of alternating knots ⋮ Alternating links have at most polynomially many Seifert surfaces of fixed genus

Cites Work

• A classification of spanning surfaces for alternating links
• Inflations of ideal triangulations
• Closed incompressible surfaces in alternating knot and link complements
• The classification of alternating links
• Asphericity of alternating knots
• Theorie der Normalflächen. Ein Isotopiekriterium für den Kreisknoten
• Classification of knot projections
• On the boundary curves of incompressible surfaces
• Ideal triangulations of link complements and hyperbolicity equations
• Decision problems in the space of Dehn fillings
• 0-efficient triangulations of 3-manifolds
• Thin position and the recognition problem for \(S^ 3\)
• Dissecting the 2-sphere by immersions
• THE JONES POLYNOMIAL AND BOUNDARY SLOPES OF ALTERNATING KNOTS
• Knots are Determined by Their Complements

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