English

Examples of contact mapping classes of infinite order in all dimensions

Symplectic Geometry 2021-07-08 v2

Abstract

We give examples of tight high dimensional contact manifolds admitting a contactomorphism whose powers are all smoothly isotopic but not contact-isotopic to the identity. This is a generalization of an observation in dimension 3 by Gompf, also reused by Ding and Geiges.

Keywords

Cite

@article{arxiv.1809.07762,
  title  = {Examples of contact mapping classes of infinite order in all dimensions},
  author = {Fabio Gironella},
  journal= {arXiv preprint arXiv:1809.07762},
  year   = {2021}
}

Comments

v2: The content of this revision corresponds to the published version, which includes in particular several overall improvements following the referee's suggestions. v1: 15 pages. Comments are welcome!