Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/12369
Full metadata record
DC FieldValueLanguage
dc.contributor.authorGüğümcü, Neslihan-
dc.contributor.authorKauffman, Louis H.-
dc.date.accessioned2022-08-15T18:24:31Z-
dc.date.available2022-08-15T18:24:31Z-
dc.date.issued2021-
dc.identifier.issn0218-2165-
dc.identifier.issn1793-6527-
dc.identifier.urihttps://doi.org/10.1142/S0218216521500760-
dc.identifier.urihttps://hdl.handle.net/11147/12369-
dc.description.abstractIn this paper, we study parity in planar and spherical knotoids in relation to virtual knots. We introduce a planar version of the parity bracket polynomial for planar knotoids. We show that the virtual closure map (a map from the set of knotoids in S-2 to the set of virtual knots of genus at most one) is not surjective, by utilizing the surface bracket polynomial of virtual knots. We give specific examples of virtual knots that are not in the image of the virtual closure map. Turaev conjectured that minimal diagrams of knot-type knotoids have zero height. We prove this conjecture by using the results of Nikonov and Manturov induced by parities of virtual knots.en_US
dc.description.sponsorshipThe first author's work was supported by the Dorothea Schlozer Postdoctoral Program for Women Scientists by the University of Goettingen. The second author's work was supported by the Laboratory of Topology and Dynamics, Novosibirsk State University (contract no. 14.Y26.31.0025 with the Ministry of Education and Science of the Russian Federation).en_US
dc.language.isoenen_US
dc.publisherWorld Scientific Publishingen_US
dc.relation.ispartofJournal of Knot Theory and its Ramificationsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectKnotoidsen_US
dc.subjectCrossing numberen_US
dc.subjectVirtual knotsen_US
dc.titleParity, virtual closure and minimality of knotoidsen_US
dc.typeArticleen_US
dc.institutionauthorGüğümcü, Neslihan-
dc.departmentİzmir Institute of Technology. Mathematicsen_US
dc.identifier.volume30en_US
dc.identifier.issue11en_US
dc.identifier.wosWOS:000751830100003en_US
dc.identifier.scopus2-s2.0-85124013054en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.doi10.1142/S0218216521500760-
dc.identifier.wosqualityQ4-
dc.identifier.scopusqualityQ3-
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.grantfulltextnone-
item.fulltextNo Fulltext-
item.languageiso639-1en-
item.cerifentitytypePublications-
crisitem.author.dept04.02. Department of Mathematics-
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
Show simple item record



CORE Recommender

SCOPUSTM   
Citations

3
checked on Apr 5, 2024

WEB OF SCIENCETM
Citations

2
checked on Mar 16, 2024

Page view(s)

10,054
checked on Apr 8, 2024

Google ScholarTM

Check




Altmetric


Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.