Contactomorphisms of the sphere without translated points

Pub Date : 2024-08-19 DOI:10.4310/jsg.2024.v22.n1.a1
Dylan Cant
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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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