Uniqueness of higher genus bridge surfaces for torus knots

Abstract

We show that a torus knot which is not 2-bridge has a unique irreducible bridge splitting of positive genus.

14 pages, 4 figures

References in corpus (3)

• Non-minimal bridge positions of torus knots are stabilized
• Bridge and pants complexities of knots
• A locally minimal, but not globally minimal bridge position of a knot

Cited by in corpus (1)

• Bridge trisections of knotted surfaces in 4--manifolds