A note on the X-torsion order of a knot
Canadian mathematical bulletin, Tome 68 (2025) no. 4, pp. 1082-1087
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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 $4$.
Mots-clés :
Khovanov homology, X-torsion order, Bar-Natan–Lee–Turner spectral sequence
Schütz, Dirk. A note on the X-torsion order of a knot. Canadian mathematical bulletin, Tome 68 (2025) no. 4, pp. 1082-1087. doi: 10.4153/S0008439525000323
@article{10_4153_S0008439525000323,
author = {Sch\"utz, Dirk},
title = {A note on the {X-torsion} order of a knot},
journal = {Canadian mathematical bulletin},
pages = {1082--1087},
year = {2025},
volume = {68},
number = {4},
doi = {10.4153/S0008439525000323},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439525000323/}
}
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