English

On the minimal number of translated points in contact lens spaces

Symplectic Geometry 2022-12-08 v1

Abstract

In this article, we prove that every contactomorphism of any standard contact lens space of dimension 2n12n-1 that is contact-isotopic to identity has at least 2n2n translated points. This sharp lower bound refines a result of Granja-Karshon-Pabiniak-Sandon and answers a conjecture of Sandon positively.

Keywords

Cite

@article{arxiv.2103.16260,
  title  = {On the minimal number of translated points in contact lens spaces},
  author = {Simon Allais},
  journal= {arXiv preprint arXiv:2103.16260},
  year   = {2022}
}

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9 pages