Efficient calculations of $S$-invariants for links

We describe an algorithm that can effectively calculate the $s$-invariant of a link as defined by Beliakova and Wehrli. Our computations show that this cannot be done by merely calculating the $E_\infty$-page of the Bar-Natan--Lee--Turner spectral sequence. Our methods also work for $s$-invariants coming from sl(3)-link homology.

Publication Details

Journal
ArXiv.org
Published
2025-08-15
Primary Topic
Theoretical and Computational Physics
Type
article
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article

Efficient calculations of $S$-invariants for links

ArXiv.org
Theoretical and Computational Physics
article

Efficient calculations of $S$-invariants for links

article en

Abstract

We describe an algorithm that can effectively calculate the $s$-invariant of a link as defined by Beliakova and Wehrli. Our computations show that this cannot be done by merely calculating the $E_\infty$-page of the Bar-Natan--Lee--Turner spectral sequence. Our methods also work for $s$-invariants coming from sl(3)-link homology.

ArXiv.org
Openalex Percentile: Top 56%
Theoretical and Computational Physics
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Efficient calculations of $S$-invariants for links · ArXiv.org (2025) | TGRS Research Map | TGRS