Minimal cobordisms between thin and thick torus knots

Baader, Sebastian and Lewark, Lukas and Misev, Filip and Truöl, Paula (2026) Minimal cobordisms between thin and thick torus knots. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 69 (1). pp. 177-183. ISSN 0013-0915, 1464-3839

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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.

Item Type: Article
Uncontrolled Keywords: cobordism distance; slice genus; torus knots; Levine-Tristram signatures
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 15 Jul 2026 09:32
Last Modified: 15 Jul 2026 09:32
URI: https://pred.uni-regensburg.de/id/eprint/66997

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