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A fast Algorithm for calculating S-Invariants

Schuetz, Dirk

A fast Algorithm for calculating S-Invariants Thumbnail



We use the divide-and-conquer and scanning algorithms for calculating Khovanov cohomology directly on the Lee- or Bar-Natan deformations of the Khovanov complex to give an alternative way to compute Rasmussen s-invariants of knots. By disregarding generators away from homological degree 0, we can considerably improve the efficiency of the algorithm. With a slight modification, we can also apply it to a refinement of Lipshitz–Sarkar.


Schuetz, D. (2021). A fast Algorithm for calculating S-Invariants. Glasgow Mathematical Journal, 63(2), 378-399.

Journal Article Type Article
Acceptance Date May 30, 2020
Online Publication Date Jun 29, 2020
Publication Date 2021-05
Deposit Date Jun 9, 2020
Publicly Available Date Dec 29, 2020
Journal Glasgow Mathematical Journal
Print ISSN 0017-0895
Electronic ISSN 1469-509X
Publisher Cambridge University Press
Peer Reviewed Peer Reviewed
Volume 63
Issue 2
Pages 378-399


Accepted Journal Article (457 Kb)

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Copyright Statement
This article has been published in a revised form in Glasgow mathematical journal This version is published under a Creative Commons CC-BY-NC-ND. No commercial re-distribution or re-use allowed. Derivative works cannot be distributed. © The Author(s) 2020. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust.

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