Show simple item record

Singquandles, psyquandles, and singular knots: A survey

dc.contributor.authorCeniceros, Jose
dc.contributor.authorChurchill, Indu R.
dc.contributor.authorElhamdadi, Mohamed
dc.contributor.authorHajij, Mustafa
dc.date.accessioned2022-05-10T17:40:50Z
dc.date.available2022-05-10T17:40:50Z
dc.date.issued2022-02-24
dc.identifier.issn0218-2165
dc.identifier.eissn1793-6527
dc.identifier.doi10.1142/s0218216521410030
dc.identifier.pii10.1142/S0218216521410030
dc.identifier.urihttp://hdl.handle.net/20.500.12648/7168
dc.descriptionElectronic version of an article published as Journal of Knot Theory and Its Ramifications, [Volume 30, Issue 1, 2021, 17] 10.1142/S0218216521410030 © copyright World Scientific Publishing Company https://www.worldscientific.com/worldscinet/jktren_US
dc.description.abstractIn this short survey, we review recent results dealing with algebraic structures (quandles, psyquandles, and singquandles) related to singular knot theory. We first explore the singquandles counting invariant and then consider several recent enhancements to this invariant. These enhancements include a singquandle cocycle invariant and several polynomial invariants of singular knots obtained from the singquandle structure. We then explore psyquandles which can be thought of as generalizations of oriented singquandles, and review recent developments regarding invariants of singular knots obtained from psyquandles.en_US
dc.language.isoenen_US
dc.publisherWorld Scientific Pub Co Pte Ltden_US
dc.relation.urlhttps://www.worldscientific.com/doi/abs/10.1142/S0218216521410030en_US
dc.rightsAttribution-NonCommercial-ShareAlike 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/*
dc.subjectAlgebra and Number Theoryen_US
dc.subjectQuandlesen_US
dc.subjectsingular knots and linksen_US
dc.titleSingquandles, psyquandles, and singular knots: A surveyen_US
dc.typeArticle/Reviewen_US
dc.source.journaltitleJournal of Knot Theory and Its Ramificationsen_US
dc.description.versionAMen_US
dc.description.institutionSUNY Oswegoen_US
dc.description.departmentMathematicsen_US
dc.description.degreelevelN/Aen_US


Files in this item

Thumbnail
Name:
Singular_Knots_and_Quandles_Su ...
Embargo:
2023-02-25
Size:
404.0Kb
Format:
PDF
Download

This item appears in the following Collection(s)

Show simple item record

Attribution-NonCommercial-ShareAlike 4.0 International
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-ShareAlike 4.0 International