Artem Kotelskiy
Cosmetic operations and Khovanov multicurves
Kotelskiy, Artem; Lidman, Tye; Moore, Allison H.; Watson, Liam; Zibrowius, Claudius
Authors
Tye Lidman
Allison H. Moore
Liam Watson
Dr Claudius Zibrowius claudius.b.zibrowius@durham.ac.uk
Associate Professor
Abstract
We prove an equivariant version of the Cosmetic Surgery Conjecture for strongly invertible knots. Our proof combines a recent result of Hanselman with the Khovanov multicurve invariants Kh~ and BN~. We apply the same techniques to reprove a result of Wang about the Cosmetic Crossing Conjecture and split links. Along the way, we show that Kh~ and BN~ detect if a Conway tangle is split.
Citation
Kotelskiy, A., Lidman, T., Moore, A. H., Watson, L., & Zibrowius, C. (2024). Cosmetic operations and Khovanov multicurves. Mathematische Annalen, 389(3), 2903-2930. https://doi.org/10.1007/s00208-023-02697-5
Journal Article Type | Article |
---|---|
Acceptance Date | Jul 27, 2023 |
Online Publication Date | Sep 11, 2023 |
Publication Date | Jul 1, 2024 |
Deposit Date | Sep 20, 2023 |
Publicly Available Date | Sep 20, 2023 |
Journal | Mathematische Annalen |
Print ISSN | 0025-5831 |
Electronic ISSN | 1432-1807 |
Publisher | Springer |
Peer Reviewed | Peer Reviewed |
Volume | 389 |
Issue | 3 |
Pages | 2903-2930 |
DOI | https://doi.org/10.1007/s00208-023-02697-5 |
Keywords | General Mathematics |
Public URL | https://durham-repository.worktribe.com/output/1743675 |
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