Journal of Symplectic Geometry

Volume 22 (2024)

Number 1

Contactomorphisms of the sphere without translated points

Pages: 1 – 10

DOI: https://dx.doi.org/10.4310/JSG.2024.v22.n1.a1

Author

Dylan Cant (Department of Mathematics and Statistics, University of Montreal, Quebec, Canada)

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

Received 22 November 2022

Received revised 2 April 2023

Accepted 21 June 2023

Published 19 August 2024