{"title":"A note on the orderability of Dehn fillings of the manifold v2503","authors":"K. Varvarezos","doi":"10.1142/s0218216520710029","DOIUrl":null,"url":null,"abstract":"We show that Dehn filling on the manifold $v2503$ results in a non-orderable space for all rational slopes in the interval $(-\\infty , -1)$. This is consistent with the L-space conjecture, which predicts that all fillings will result in a non-orderable space for this manifold.","PeriodicalId":8454,"journal":{"name":"arXiv: Geometric Topology","volume":"24 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-04-16","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/s0218216520710029","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
We show that Dehn filling on the manifold $v2503$ results in a non-orderable space for all rational slopes in the interval $(-\infty , -1)$. This is consistent with the L-space conjecture, which predicts that all fillings will result in a non-orderable space for this manifold.
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