Minimal cobordisms between thin and thick torus knots

Fuente: arXiv
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Autores principales: Baader, Sebastian, Lewark, Lukas, Misev, Filip, Truöl, Paula
Formato: Preprint
Publicado: 2024
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author Baader, Sebastian
Lewark, Lukas
Misev, Filip
Truöl, Paula
author_facet Baader, Sebastian
Lewark, Lukas
Misev, Filip
Truöl, Paula
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2405_13719
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Minimal cobordisms between thin and thick torus knots
Baader, Sebastian
Lewark, Lukas
Misev, Filip
Truöl, Paula
Geometric Topology
57K10
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.
title Minimal cobordisms between thin and thick torus knots
topic Geometric Topology
57K10
url https://arxiv.org/abs/2405.13719