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A note on the X-torsion order of a knot

Published online by Cambridge University Press:  18 March 2025

Dirk Schütz Open the ORCID record for Dirk Schütz [Opens in a new window]
Dirk Schütz*
Affiliation:
Department of Mathematical Sciences, Durham University, Durham, DH1 3LE, United Kingdom
*
e-mail: dirk.schuetz@durham.ac.uk
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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 $4$.

Keywords

Khovanov homologyX-torsion orderBar-Natan–Lee–Turner spectral sequence
Type
Article
Information
Canadian Mathematical Bulletin , First View , pp. 1 - 6
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Copyright
© The Author(s), 2025. Published by Cambridge University Press on behalf of Canadian Mathematical Society

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