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Minimal cobordisms between thin and thick torus knots

2024/05/22 by Baader, Sebastian, Lewark, Lukas, Misev, Filip +1
#57K10 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2405.13719

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.

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