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Cosmetic operations and Khovanov multicurves

Kotelskiy, Artem; Lidman, Tye; Moore, Allison H.; Watson, Liam; Zibrowius, Claudius

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Authors

Artem Kotelskiy

Tye Lidman

Allison H. Moore

Liam Watson



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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