Professor Dirk Schuetz dirk.schuetz@durham.ac.uk
Professor
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. 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 |
Public URL | https://durham-repository.worktribe.com/output/1300575 |
Accepted Journal Article
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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.
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