On a parameterization of (1,1)-knots

DOI10.1142/S021821652250047XzbMath1505.57006arXiv2108.04404OpenAlexW4284966714MaRDI QIDQ5101940

José Frias

Publication date: 5 September 2022

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

Full work available at URL: https://arxiv.org/abs/2108.04404

zbMATH Keywords

bridge position(1,1)-knotminimum length curvetight parameterization

Mathematics Subject Classification ID

Knot theory (57K10)

Cites Work

• Knoten mit zwei Brücken
• On unknotting tunnels for knots
• Satellite (1,1)-knots and meridionally incompressible surfaces
• Shortest paths of bounded curvature in the plane
• On the classification of rational knots
• On Curves of Minimal Length with a Constraint on Average Curvature, and with Prescribed Initial and Terminal Positions and Tangents
• INCOMPRESSIBLE SURFACES AND (1, 1)-KNOTS
• Parameterizations of 1-Bridge Torus Knots
• The Neuwirth Conjecture for a family of satellite knots
• (1, 1)-knots via the mapping class group of the twice punctured torus
• Typical representatives of free homotopy classes in multi-punctured plane
• Arc distance equals level number

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