The E8–manifold, singular fibers and handlebody decompositions

R. Kirby, P. Melvin
{"title":"The E8–manifold, singular fibers and handlebody decompositions","authors":"R. Kirby, P. Melvin","doi":"10.2140/GTM.1999.2.233","DOIUrl":null,"url":null,"abstract":"The E_8-manifold has several natural framed link descriptions, and we give an efficient method (via `grapes') for showing that they are indeed the same 4-manifold. This leads to explicit handle pictures for the perturbation of singular fibers in an elliptic surface to a collection of fishtails. In the same vein, we show how the degeneration of a regular fiber to a singular fiber in an elliptic surface provides rich examples of Gromov's compactness theorem.","PeriodicalId":219165,"journal":{"name":"Proceedings of the Kirbyfest","volume":"26 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Kirbyfest","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2140/GTM.1999.2.233","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5

Abstract

The E_8-manifold has several natural framed link descriptions, and we give an efficient method (via `grapes') for showing that they are indeed the same 4-manifold. This leads to explicit handle pictures for the perturbation of singular fibers in an elliptic surface to a collection of fishtails. In the same vein, we show how the degeneration of a regular fiber to a singular fiber in an elliptic surface provides rich examples of Gromov's compactness theorem.
e8歧管,单一纤维和柄体分解
e_8流形有几个自然框架的链接描述,我们给出了一个有效的方法(通过“葡萄”)来显示它们确实是相同的4流形。这就得到了椭圆表面上奇异纤维对鱼尾集合摄动的显式处理图。在同样的思路下,我们展示了正则纤维在椭圆表面上如何退化为奇异纤维,为Gromov紧性定理提供了丰富的例子。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信