Biquandle Power Brackets of Oriented Links
| dc.contributor.author | Gügümcü, Neslihan | |
| dc.contributor.author | Nelson, Sam | |
| dc.date.accessioned | 2025-04-25T20:31:48Z | |
| dc.date.available | 2025-04-25T20:31:48Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | In this paper, we introduce biquandle power brackets, an infinite family of invariants of oriented links containing the classical skein invariants and the quandle and biquandle 2-cocycle invariants as special cases. Biquandle power brackets are generalizations of biquandle brackets in which the values of Kauffman states also depend on the biquandle colors they admit. We provide example computations and discuss the relationship between these new invariants and the previous cases. | en_US |
| dc.identifier.doi | 10.55730/1300-0098.3580 | |
| dc.identifier.issn | 1300-0098 | |
| dc.identifier.issn | 1303-6149 | |
| dc.identifier.scopus | 2-s2.0-105000790126 | |
| dc.identifier.uri | https://doi.org/10.55730/1300-0098.3580 | |
| dc.identifier.uri | https://search.trdizin.gov.tr/en/yayin/detay/1336754/biquandle-power-brackets-of-oriented-links | |
| dc.language.iso | en | en_US |
| dc.publisher | Tubitak Scientific & Technological Research Council Turkey | en_US |
| dc.relation.ispartof | Turkish Journal of Mathematics | |
| dc.relation.ispartof | Turkish Journal of Mathematics | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Biquandle Invariants of Oriented Links | en_US |
| dc.subject | Biquandle Brackets | en_US |
| dc.subject | Biquandle Power Brackets | en_US |
| dc.title | Biquandle Power Brackets of Oriented Links | en_US |
| dc.title | Biquandle Power Brackets of Oriented Links | |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Güğümcü, Neslihan | |
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| gdc.description.department | İzmir Institute of Technology | en_US |
| gdc.description.departmenttemp | İzmir Yüksek Teknoloji Enstitüsü,İzmir Yüksek Teknoloji Enstitüsü,Tanımlanmamış Kurum | en_US |
| gdc.description.endpage | 172 | |
| gdc.description.endpage | 172 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 157 | |
| gdc.description.startpage | 157 | en_US |
| gdc.description.volume | 49 | en_US |
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| gdc.identifier.trdizinid | 1336754 | |
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| gdc.oaire.keywords | Generalized knots (virtual knots, welded knots, quandles, etc.) | |
| gdc.oaire.keywords | biquandle brackets | |
| gdc.oaire.keywords | biquandle power brackets | |
| gdc.oaire.keywords | Knot theory | |
| gdc.oaire.keywords | biquandle invariants of oriented links | |
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