{"title":"Homflypt多项式与取向汤普森群","authors":"Valeriano Aiello, R. Conti, V. Jones","doi":"10.4171/QT/112","DOIUrl":null,"url":null,"abstract":"We show how to construct unitary representations of the oriented Thompson group $\\vec{F}$ from oriented link invariants. In particular we show that the suitably normalised HOMFLYPT polynomial defines a positive definite function of $\\vec{F}$.","PeriodicalId":51331,"journal":{"name":"Quantum Topology","volume":"41 1","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2016-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"19","resultStr":"{\"title\":\"The Homflypt polynomial and the oriented Thompson group\",\"authors\":\"Valeriano Aiello, R. Conti, V. Jones\",\"doi\":\"10.4171/QT/112\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show how to construct unitary representations of the oriented Thompson group $\\\\vec{F}$ from oriented link invariants. In particular we show that the suitably normalised HOMFLYPT polynomial defines a positive definite function of $\\\\vec{F}$.\",\"PeriodicalId\":51331,\"journal\":{\"name\":\"Quantum Topology\",\"volume\":\"41 1\",\"pages\":\"\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2016-09-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"19\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Quantum Topology\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4171/QT/112\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quantum Topology","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4171/QT/112","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
The Homflypt polynomial and the oriented Thompson group
We show how to construct unitary representations of the oriented Thompson group $\vec{F}$ from oriented link invariants. In particular we show that the suitably normalised HOMFLYPT polynomial defines a positive definite function of $\vec{F}$.
期刊介绍：
Quantum Topology is a peer reviewed journal dedicated to publishing original research articles, short communications, and surveys in quantum topology and related areas of mathematics. Topics covered include in particular:
Low-dimensional Topology
Knot Theory
Jones Polynomial and Khovanov Homology
Topological Quantum Field Theory
Quantum Groups and Hopf Algebras
Mapping Class Groups and Teichmüller space
Categorification
Braid Groups and Braided Categories
Fusion Categories
Subfactors and Planar Algebras
Contact and Symplectic Topology
Topological Methods in Physics.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
