最小翘曲度2的初始交替结

arXiv: Geometric Topology Pub Date : 2020-04-30 DOI:10.1142/s0218216520500601

Ayaka Shimizu

{"title":"最小翘曲度2的初始交替结","authors":"Ayaka Shimizu","doi":"10.1142/s0218216520500601","DOIUrl":null,"url":null,"abstract":"The warping degree of an oriented knot diagram is the minimal number of crossing changes which are required to obtain a monotone knot diagram from the diagram. The minimal warping degree of a knot is the minimal value of the warping degree for all oriented minimal diagrams of the knot. In this paper, all prime alternating knots with minimal warping degree two are determined.","PeriodicalId":8454,"journal":{"name":"arXiv: Geometric Topology","volume":"69 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Prime alternating knots of minimal warping degree two\",\"authors\":\"Ayaka Shimizu\",\"doi\":\"10.1142/s0218216520500601\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The warping degree of an oriented knot diagram is the minimal number of crossing changes which are required to obtain a monotone knot diagram from the diagram. The minimal warping degree of a knot is the minimal value of the warping degree for all oriented minimal diagrams of the knot. In this paper, all prime alternating knots with minimal warping degree two are determined.\",\"PeriodicalId\":8454,\"journal\":{\"name\":\"arXiv: Geometric Topology\",\"volume\":\"69 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-04-30\",\"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/s0218216520500601\",\"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/s0218216520500601","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 1

摘要

有向结图的翘曲度是指从结图中得到单调结图所需的最小交叉变化数。结的最小翘曲度是结的所有定向最小图的翘曲度的最小值。本文确定了所有最小翘曲度为2的素数交替结。

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

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Prime alternating knots of minimal warping degree two

The warping degree of an oriented knot diagram is the minimal number of crossing changes which are required to obtain a monotone knot diagram from the diagram. The minimal warping degree of a knot is the minimal value of the warping degree for all oriented minimal diagrams of the knot. In this paper, all prime alternating knots with minimal warping degree two are determined.

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

arXiv: Geometric Topology

自引率

0.00%

发文量

期刊最新文献

Branched coverings of the 2-sphere Fock–Goncharov coordinates for semisimple Lie groups Low-Slope Lefschetz Fibrations The existence of homologically fibered links and solutions of some equations. The mapping class group of connect sums of $S^2 \times S^1$