A new knot invariant

DOI10.1007/BF01458068zbMath0632.57006OpenAlexW2045198851MaRDI QIDQ1095451

Nicolaas H. Kuiper

Publication date: 1987

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164289

zbMATH Keywords

torus knotsbridge numbersuperbridge indexsuperbridge number

Mathematics Subject Classification ID

Related Items (24)

New superbridge index calculations from non-minimal realizations ⋮ THERE ARE ONLY FINITELY MANY 3-SUPERBRIDGE KNOTS ⋮ SUPERBRIDGE INDEX OF COMPOSITE KNOTS ⋮ New Stick Number Bounds from Random Sampling of Confined Polygons ⋮ Knots and \(k\)-width ⋮ Petal number of torus knots using superbridge indices ⋮ AN INTRODUCTION TO THE SUPERCROSSING INDEX OF KNOTS AND THE CROSSING MAP ⋮ A COMPUTATION OF SUPERBRIDGE INDEX OF KNOTS ⋮ STICK AND RAMSEY NUMBERS OF TORUS LINKS ⋮ All prime knots through 10 crossings have superbridge index ≤ 5 ⋮ Knots with exactly 10 sticks ⋮ Petal grid diagrams of torus knots ⋮ Duality properties of indicatrices of knots ⋮ Some spaces of polynomial knots ⋮ PLANAR AND SPHERICAL STICK INDICES OF KNOTS ⋮ Constructing real rational knots by gluing ⋮ The isoperimetric inequality and the total absolute curvature of closed curves in spheres ⋮ The spiral index of knots ⋮ Les sections secrètes des tores simples dans l'espace euclidien \({\mathbb{R}}^ 3\) telles que Kuiper les dévoile à Hirzebruch ⋮ New computations of the superbridge index ⋮ Stick knots ⋮ Universal knot diagrams ⋮ THE PROJECTION STICK INDEX OF KNOTS ⋮ Superbridge and bridge indices for knots

Cites Work

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• Les sections secrètes des tores simples dans l'espace euclidien \({\mathbb{R}}^ 3\) telles que Kuiper les dévoile à Hirzebruch
• The total curvature of a knotted torus
• Über eine numerische Knoteninvariante
• On total curvatures of closed space curves

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