{"title":"无平移点的球面接触形态","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":50029,"journal":{"name":"Journal of Symplectic Geometry","volume":"2 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"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\":50029,\"journal\":{\"name\":\"Journal of Symplectic Geometry\",\"volume\":\"2 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-08-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Symplectic Geometry\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4310/jsg.2024.v22.n1.a1\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Symplectic Geometry","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/jsg.2024.v22.n1.a1","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
Contactomorphisms of the sphere without translated points
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 $\href{https://doi.org/10.1007/s10711-012-9741-1}{\textrm{[San13]}}$.
期刊介绍:
Publishes high quality papers on all aspects of symplectic geometry, with its deep roots in mathematics, going back to Huygens’ study of optics and to the Hamilton Jacobi formulation of mechanics. Nearly all branches of mathematics are treated, including many parts of dynamical systems, representation theory, combinatorics, packing problems, algebraic geometry, and differential topology.