A note on the X-torsion order of a knot

Schuetz, Dirk

Abstract

We show that the X-torsion order of a knot, which is defined in terms of a generalized Lee complex, can be calculated using the reduced Bar-Natan–Lee–Turner spectral sequence. We use this for extensive calculations, including an example of X-torsion order 4.

Citation

Schuetz, D. (online). A note on the X-torsion order of a knot. Canadian Mathematical Bulletin, https://doi.org/10.4153/S0008439525000323

• Journal Article Type: Article
• Acceptance Date: Mar 10, 2025
• Online Publication Date: Mar 18, 2025
• Deposit Date: Mar 13, 2025
• Publicly Available Date: Mar 18, 2025
• Journal: Canadian Mathematical Bulletin
• Print ISSN: 0008-4395
• Electronic ISSN: 1496-4287
• Publisher: Cambridge University Press
• Peer Reviewed: Peer Reviewed
• DOI: https://doi.org/10.4153/S0008439525000323
• Public URL: https://durham-repository.worktribe.com/output/3708287