{"title":"The E8–manifold, singular fibers and handlebody decompositions","authors":"R. Kirby, P. Melvin","doi":"10.2140/GTM.1999.2.233","DOIUrl":"https://doi.org/10.2140/GTM.1999.2.233","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":0.0,"publicationDate":"1999-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126644564","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}