Contactomorphisms of the sphere without translated points

IF 0.6 3区数学 Q3 MATHEMATICS

Journal of Symplectic Geometry Pub Date : 2024-08-19 DOI:10.4310/jsg.2024.v22.n1.a1

Dylan Cant

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 $\href{https://doi.org/10.1007/s10711-012-9741-1}{\textrm{[San13]}}$.

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无平移点的球面接触形态

我们构建了$(S^{2n-1}, \alpha_\{mathrm{std}})$的接触同构，它没有任何平移点，从而为$\href{https://doi.org/10.1007/s10711-012-9741-1}{\textrm{[San13]}}$中提出的一个猜想提供了否定答案。

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来源期刊

Journal of Symplectic Geometry 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

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.