Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/11573
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dc.contributor.authorGüğümcü, Neslihan-
dc.contributor.authorKauffman, Louis H.-
dc.date.accessioned2021-11-06T09:54:41Z-
dc.date.available2021-11-06T09:54:41Z-
dc.date.issued2021-
dc.identifier.issn0010-3616-
dc.identifier.issn1432-0916-
dc.identifier.urihttps://doi.org/10.1007/s00220-021-04081-3-
dc.identifier.urihttps://hdl.handle.net/11147/11573-
dc.description.abstractIn this paper, we construct quantum invariants for knotoid diagrams in R-2. The diagrams are arranged with respect to a given direction in the plane (Morse knotoids). A Morse knotoid diagram can be decomposed into basic elementary diagrams each of which is associated to a matrix that yields solutions of the quantum Yang-Baxter equation. We recover the bracket polynomial, and define the rotational bracket polynomial, the binary bracket polynomial, the Alexander polynomial, the generalized Alexander polynomial and an infinity of specializations of the Homflypt polynomial for Morse knotoids via quantum state sum models.en_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofCommunications in Mathematical Physicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectQuantum invariantsen_US
dc.subjectKnotoid diagramsen_US
dc.subjectKnotoids-
dc.titleQuantum invariants of knotoidsen_US
dc.typeArticleen_US
dc.institutionauthorGüğümcü, Neslihan-
dc.departmentİzmir Institute of Technology. Mathematicsen_US
dc.identifier.volume387en_US
dc.identifier.issue3en_US
dc.identifier.startpage1681en_US
dc.identifier.endpage1728en_US
dc.identifier.wosWOS:000642822100001en_US
dc.identifier.scopus2-s2.0-85114260429en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.doi10.1007/s00220-021-04081-3-
dc.identifier.wosqualityQ1-
dc.identifier.scopusqualityQ1-
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextWith Fulltext-
item.languageiso639-1en-
item.cerifentitytypePublications-
item.grantfulltextopen-
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
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