Khovanov同调的一个改进

IF 2 1区数学

Geometry & Topology Pub Date : 2019-07-31 DOI:10.2140/gt.2021.25.1861

A. Lobb, Liam Watson

{"title":"Khovanov同调的一个改进","authors":"A. Lobb, Liam Watson","doi":"10.2140/gt.2021.25.1861","DOIUrl":null,"url":null,"abstract":"We refine Khovanov homology in the presence of an involution on the link. This refinement takes the form of a triply-graded theory, arising from a pair of filtrations. We focus primarily on strongly invertible knots and show, for instance, that this refinement is able to detect mutation.","PeriodicalId":55105,"journal":{"name":"Geometry & Topology","volume":"181 1","pages":""},"PeriodicalIF":2.0000,"publicationDate":"2019-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":"{\"title\":\"A refinement of Khovanov homology\",\"authors\":\"A. Lobb, Liam Watson\",\"doi\":\"10.2140/gt.2021.25.1861\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We refine Khovanov homology in the presence of an involution on the link. This refinement takes the form of a triply-graded theory, arising from a pair of filtrations. We focus primarily on strongly invertible knots and show, for instance, that this refinement is able to detect mutation.\",\"PeriodicalId\":55105,\"journal\":{\"name\":\"Geometry & Topology\",\"volume\":\"181 1\",\"pages\":\"\"},\"PeriodicalIF\":2.0000,\"publicationDate\":\"2019-07-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Geometry & Topology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2140/gt.2021.25.1861\",\"RegionNum\":1,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Geometry & Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2140/gt.2021.25.1861","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 11

摘要

我们改进了在连杆上存在对合的Khovanov同调。这种细化采用三次分级理论的形式，由一对过滤产生。我们主要关注强可逆结点，并表明，例如，这种改进能够检测突变。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A refinement of Khovanov homology

We refine Khovanov homology in the presence of an involution on the link. This refinement takes the form of a triply-graded theory, arising from a pair of filtrations. We focus primarily on strongly invertible knots and show, for instance, that this refinement is able to detect mutation.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Geometry & Topology 数学-数学

自引率

5.00%

发文量

期刊介绍： Geometry and Topology is a fully refereed journal covering all of geometry and topology, broadly understood. G&T is published in electronic and print formats by Mathematical Sciences Publishers. The purpose of Geometry & Topology is the advancement of mathematics. Editors evaluate submitted papers strictly on the basis of scientific merit, without regard to authors" nationality, country of residence, institutional affiliation, sex, ethnic origin, or political views.