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arXiv · 2103.16260

On the minimal number of translated points in contact lens spaces

Simon Allais
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Abstract

In this article, we prove that every contactomorphism of any standard contact lens space of dimension $2n-1$ that is contact-isotopic to identity has at least $2n$ translated points. This sharp lower bound refines a result of Granja-Karshon-Pabiniak-Sandon and answers a conjecture of Sandon positively.

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Simon Allais. 2021-03-30. On the minimal number of translated points in contact lens spaces. https://arxiv.org/abs/2103.16260

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