Minimal cobordisms between thin and thick torus knots
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.
Authors
- Paula Truöl
- Sebastian Baader (ORCID: https://orcid.org/0009-0007-4699-6682)
- Filip Misev
- Lukas Lewark (ORCID: https://orcid.org/0000-0002-1569-9219)
Institutions
- ETH Zurich (CH)
- Max Planck Institute for Mathematics (DE)
- University of Regensburg (DE)
Publication Details
- Journal
- Proceedings of the Edinburgh Mathematical Society
- Published
- 2025-09-10
- DOI
- https://doi.org/10.1017/s0013091525101041
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00