{"title":"Contactomorphisms of the sphere without translated points","authors":"Dylan Cant","doi":"10.4310/jsg.2024.v22.n1.a1","DOIUrl":null,"url":null,"abstract":"We construct a contactomorphism of $(S^{2n-1}, \\alpha_{\\mathrm{std}})$ which does not have any translated points, providing a negative answer to a conjecture posed in $\\href{https://doi.org/10.1007/s10711-012-9741-1}{\\textrm{[San13]}}$.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/jsg.2024.v22.n1.a1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We construct a contactomorphism of $(S^{2n-1}, \alpha_{\mathrm{std}})$ which does not have any translated points, providing a negative answer to a conjecture posed in $\href{https://doi.org/10.1007/s10711-012-9741-1}{\textrm{[San13]}}$.