Torsion calculations in Khovanov cohomology

Schuetz, Dirk

Abstract

We obtain information on torsion in Khovanov cohomology by performing calculations directly over Z/pkZ for p prime and k≥2. In particular, we get that the torus knots T(9,10) and T(9,11) contain torsion of order 9 and 27 in their Khovanov cohomology.

Citation

Schuetz, D. (2020). Torsion calculations in Khovanov cohomology. Journal of Knot Theory and Its Ramifications, 29(8), Article 2071001. https://doi.org/10.1142/s0218216520710017

• Journal Article Type: Article
• Acceptance Date: May 19, 2020
• Online Publication Date: Jun 24, 2020
• Publication Date: 2020-07
• Deposit Date: May 22, 2020
• Publicly Available Date: Jun 24, 2021
• Journal: Journal of Knot Theory and Its Ramifications
• Print ISSN: 0218-2165
• Electronic ISSN: 1793-6527
• Publisher: World Scientific Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 29
• Issue: 8
• Article Number: 2071001
• DOI: https://doi.org/10.1142/s0218216520710017
• Public URL: https://durham-repository.worktribe.com/output/1270067