Bridge spectra of iterated torus knots

Abstract

We determine the set of all genus g bridge numbers of many iterated torus knots, listing these numbers in a sequence called the bridge spectrum. In addition, we prove a structural lemma about the decomposition of a strongly irreducible bridge surface induced by cutting along a collection of essential surfaces.

32 pages, 6 figures

Cited by in corpus (2)

• Montesinos knots, Hopf plumbings, and L-space surgeries
• Bridge spectra of twisted torus knots