A fast Algorithm for calculating S-Invariants

Schuetz, Dirk

doi:10.1017/s0017089520000257

A fast Algorithm for calculating S-Invariants Thumbnail

Authors

Professor Dirk Schuetz dirk.schuetz@durham.ac.uk
Professor

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.

Citation

Schuetz, D. (2021). A fast Algorithm for calculating S-Invariants. Glasgow Mathematical Journal, 63(2), 378-399. https://doi.org/10.1017/s0017089520000257

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
DOI	https://doi.org/10.1017/s0017089520000257

Files

Accepted Journal Article (457 Kb)
PDF

Publisher Licence URL
http://creativecommons.org/licenses/by-nc-nd/4.0/

Copyright 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.