Schuetz, Dirk (2021) 'A fast algorithm for calculating S-invariants.', Glasgow mathematical journal., 63 (2). pp. 378-399.
Abstract
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. Download PDF (447Kb) |
| Status: | Peer-reviewed |
| 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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