合理切片节的线性独立性

Geometry & Topology Pub Date : 2020-11-15 DOI:10.2140/gt.2022.26.3143

Jennifer Hom, Sungkyung Kang, Junghwan Park, Matthew Stoffregen

{"title":"合理切片节的线性独立性","authors":"Jennifer Hom, Sungkyung Kang, Junghwan Park, Matthew Stoffregen","doi":"10.2140/gt.2022.26.3143","DOIUrl":null,"url":null,"abstract":"A knot in $S^3$ is rationally slice if it bounds a disk in a rational homology ball. We give an infinite family of rationally slice knots that are linearly independent in the knot concordance group. In particular, our examples are all infinite order. All previously known examples of rationally slice knots were order two.","PeriodicalId":254292,"journal":{"name":"Geometry & Topology","volume":"26 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":"{\"title\":\"Linear independence of rationally slice knots\",\"authors\":\"Jennifer Hom, Sungkyung Kang, Junghwan Park, Matthew Stoffregen\",\"doi\":\"10.2140/gt.2022.26.3143\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A knot in $S^3$ is rationally slice if it bounds a disk in a rational homology ball. We give an infinite family of rationally slice knots that are linearly independent in the knot concordance group. In particular, our examples are all infinite order. All previously known examples of rationally slice knots were order two.\",\"PeriodicalId\":254292,\"journal\":{\"name\":\"Geometry & Topology\",\"volume\":\"26 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-11-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"10\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Geometry & Topology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2140/gt.2022.26.3143\",\"RegionNum\":0,\"RegionCategory\":null,\"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.2022.26.3143","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 10

摘要

$S^3$中的一个结，如果它约束一个在有理同调球中的圆盘，则它是理性切片。在结协调群中，我们给出了线性无关的无限合理切片结族。特别地，我们的例子都是无限阶的。所有已知的合理切片结的例子都是二阶的。

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

Linear independence of rationally slice knots

A knot in $S^3$ is rationally slice if it bounds a disk in a rational homology ball. We give an infinite family of rationally slice knots that are linearly independent in the knot concordance group. In particular, our examples are all infinite order. All previously known examples of rationally slice knots were order two.

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

自引率

0.00%

发文量