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.
|Full text:||(AM) Accepted Manuscript|
Available under License - Creative Commons Attribution Non-commercial No Derivatives.
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|Publisher Web site:||https://doi.org/10.1017/S0017089520000257|
|Publisher statement:||This article has been published in a revised form in Glasgow mathematical journal https://doi.org/10.1017/S0017089520000257. 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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