科瓦诺夫同源性和戈尔迪距离的精炼边界

arXiv - MATH - Quantum Algebra Pub Date : 2024-09-09 DOI:arxiv-2409.05743

Lukas Lewark, Laura Marino, Claudius Zibrowius

{"title":"科瓦诺夫同源性和戈尔迪距离的精炼边界","authors":"Lukas Lewark, Laura Marino, Claudius Zibrowius","doi":"arxiv-2409.05743","DOIUrl":null,"url":null,"abstract":"From Khovanov homology, we extract a new lower bound for the Gordian distance\nof knots, which combines and strengthens the previously existing bounds coming\nfrom Rasmussen invariants and from torsion invariants. We also improve the\nbounds for the proper rational Gordian distance.","PeriodicalId":501317,"journal":{"name":"arXiv - MATH - Quantum Algebra","volume":"15 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Khovanov homology and refined bounds for Gordian distances\",\"authors\":\"Lukas Lewark, Laura Marino, Claudius Zibrowius\",\"doi\":\"arxiv-2409.05743\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"From Khovanov homology, we extract a new lower bound for the Gordian distance\\nof knots, which combines and strengthens the previously existing bounds coming\\nfrom Rasmussen invariants and from torsion invariants. We also improve the\\nbounds for the proper rational Gordian distance.\",\"PeriodicalId\":501317,\"journal\":{\"name\":\"arXiv - MATH - Quantum Algebra\",\"volume\":\"15 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Quantum Algebra\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.05743\",\"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 - MATH - Quantum Algebra","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.05743","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

从霍瓦诺夫同源性中，我们提取了一个新的结的戈尔迪安距离下界，它结合并加强了先前存在的来自拉斯穆森不变式和扭转不变式的下界。我们还改进了适当有理戈尔迪安距离的下界。

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

Khovanov homology and refined bounds for Gordian distances

From Khovanov homology, we extract a new lower bound for the Gordian distance of knots, which combines and strengthens the previously existing bounds coming from Rasmussen invariants and from torsion invariants. We also improve the bounds for the proper rational Gordian distance.

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 - MATH - Quantum Algebra

自引率

0.00%

发文量