Minimal cobordisms between thin and thick torus knots

Sebastian Baader; Lukas Lewark; Filip Misev; Paula Truöl

doi:10.1017/s0013091525101041

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arXiv · 2405.13719

Minimal cobordisms between thin and thick torus knots

Sebastian Baader·Lukas Lewark·Filip Misev·Paula Truöl

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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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BibTeX RIS

Sebastian Baader, Lukas Lewark, Filip Misev, Paula Truöl. 2024-05-22. Minimal cobordisms between thin and thick torus knots. https://doi.org/10.1017/s0013091525101041

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