{"title":"带匹配的有边结代数","authors":"P. Ozsváth, Z. Szabó","doi":"10.4171/qt/127","DOIUrl":null,"url":null,"abstract":"This paper generalizes the bordered-algebraic knot invariant introduced in an earlier paper, giving an invariant now with more algebraic structure. It also introduces signs to define these invariants with integral coefficients. We describe effective computations of the resulting invariant.","PeriodicalId":51331,"journal":{"name":"Quantum Topology","volume":"4 1","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2017-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"29","resultStr":"{\"title\":\"Bordered knot algebras with matchings\",\"authors\":\"P. Ozsváth, Z. Szabó\",\"doi\":\"10.4171/qt/127\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper generalizes the bordered-algebraic knot invariant introduced in an earlier paper, giving an invariant now with more algebraic structure. It also introduces signs to define these invariants with integral coefficients. We describe effective computations of the resulting invariant.\",\"PeriodicalId\":51331,\"journal\":{\"name\":\"Quantum Topology\",\"volume\":\"4 1\",\"pages\":\"\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2017-07-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"29\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Quantum Topology\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4171/qt/127\",\"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/127","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
This paper generalizes the bordered-algebraic knot invariant introduced in an earlier paper, giving an invariant now with more algebraic structure. It also introduces signs to define these invariants with integral coefficients. We describe effective computations of the resulting invariant.
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.
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