Superbridge and Bridge Indices for Knots

2020/08/14 by Adams, Colin, Agarwal, Nikhil, Allen, Rachel +4
#57K10 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2008.06483

Abstract

We improve the upper bound on the superbridge index sb[K] of a knot type [K] in terms of the bridge index b[K] from sb[K] ≤ 5b -3 to sb[K]≤ 3b[k] - 1.

Related

• Superbridge index of composite knots
• There are only finitely many 3-superbridge knots
• Additivity of Bridge Number of Knots
• On 3-super bridge knots
• The bridge index and the braid index for twist positive knots