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A fast algorithm for calculating S-invariants

Schuetz, Dirk (2021) 'A fast algorithm for calculating S-invariants.', Glasgow mathematical journal., 63 (2). pp. 378-399.


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.

Item Type:Article
Full text:(AM) Accepted Manuscript
Available under License - Creative Commons Attribution Non-commercial No Derivatives.
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Publisher 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.
Date accepted:30 May 2020
Date deposited:26 June 2020
Date of first online publication:29 June 2020
Date first made open access:29 December 2020

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