Minimal cobordisms between thin and thick torus knots

Sebastian Baader, Lukas Lewark, Filip Misev, Paula Truöl

公開日: 2024/5/22

Abstract

We determine the locally flat cobordism distance between torus knots with small and large braid index, up to high precision. Here small means 2, 3, 4, or 6. As an application, we derive a surprising fact about torus knots that appear as cross-sections of almost minimal cobordisms between two-stranded torus knots and the trivial knot.