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Torsion calculations in Khovanov cohomology

Schuetz, Dirk

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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

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Copyright Statement
Electronic version of an article published as
Schuetz, Dirk (2020). Torsion calculations in Khovanov cohomology. Journal of Knot Theory and its Ramifications 29(8): 2071001 10.1142/S0218216520710017 © World Scientific Publishing Company https://www.worldscientific.com/worldscinet/jktr





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