{"title":"标签代替系数:一个标签括号⋅￣，它支配着Jones多项式∈⋅⋅、Kuperberg括号⋅A2和归一化箭头多项式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":"{\"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}","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}
Labels instead of coefficients: A label bracket ⋅ℒ which dominates the Jones polynomial 𝒳 ⋅, the Kuperberg bracket ⋅A2, and the normalized arrow polynomial 𝒲⋅
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.
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