Non-minimal bridge position of 2-cable links

2020/09/10 by Jung Hoon Lee, Lee, Jung Hoon
Mathematics · Computer Science · Engineering · #Geometric and Algebraic Topology #Computational Geometry and Mesh Generation #Adhesion, Friction, and Surface Interactions

paper · pdf · doi:10.48550/arxiv.2009.04653

Abstract

Suppose that every non-minimal bridge position of a knot K is perturbed. We show that if L is a (2, 2q)-cable link of K, then every non-minimal bridge position of L is also perturbed.

Related

• Unperturbed weakly reducible non-minimal bridge positions
• Properties of knots preserved by cabling
• On minimality of two-bridge knots
• Bridge surfaces with the topological minimality preserved by perturbation
• Cable knots are not thin