Knots with equal bridge index and braid index

DOI10.1142/S0218216521500759OpenAlexW4205277870MaRDI QIDQ5033071

No author found.

Publication date: 22 February 2022

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.11790

zbMATH Keywords

braid indexrational tanglebridge indexbending energyelastic knotsMontesinos links\(2\)-bridge knots

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) Knot theory (57K10)

Related Items (2)

Almost all 2-bridge knots are curly ⋮ Families of curly knots

Uses Software

• Knot Atlas
• KnotInfo
• Knotscape

Cites Work

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• The elastic trefoil is the doubly covered circle
• Nombre de ponts et générateurs méridiens des entrelacs de Montesinos
• The minimal number of Seifert circles equals the braid index of a link
• Elastic knots in Euclidean 3-space
• Thickness and crossing number of knots
• Studying links via closed braids. III: Classifying links which are closed 3-braids
• On the Vassiliev knot invariants
• Knots.
• Curve straightening and a minimax argument for closed elastic curves
• On the normal form of knots
• On the total curvature of knots
• Über eine numerische Knoteninvariante
• A simple scheme for the approximation of the elastic flow of inextensible curves
• On the Braid Index of Alternating Links
• Thicknesses of knots
• Global curvature, thickness, and the ideal shapes of knots
• A simple scheme for the approximation of self-avoiding inextensible curves
• Stability of a simple scheme for the approximation of elastic knots and self-avoiding inextensible curves
• A diagrammatic approach for determining the braid index of alternating links
• Bridge numbers of torus knots

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