Labels instead of coefficients: A label bracket ⋅ℒ which dominates the Jones polynomial 𝒳 ⋅, the Kuperberg bracket ⋅A2, and the normalized arrow polynomial 𝒲⋅
{"title":"Labels instead of coefficients: A label bracket ⋅ℒ which dominates the Jones polynomial 𝒳 ⋅, the Kuperberg bracket ⋅A2, and the normalized arrow polynomial 𝒲⋅","authors":"A. A. Akimova, V. Manturov","doi":"10.1142/s0218216520400015","DOIUrl":null,"url":null,"abstract":"In the present paper, we develop a picture formalism which gives rise to an invariant that dominates several known invariants of classical and virtual knots: the Jones polynomial, the Kuperberg bracket, and the normalised arrow polynomial.","PeriodicalId":8454,"journal":{"name":"arXiv: Geometric Topology","volume":"13 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: Geometric Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/s0218216520400015","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In the present paper, we develop a picture formalism which gives rise to an invariant that dominates several known invariants of classical and virtual knots: the Jones polynomial, the Kuperberg bracket, and the normalised arrow polynomial.