Examples of non-trivial contact mapping classes in all dimensions
Symplectic Geometry
2019-09-16 v2 Geometric Topology
Abstract
We give examples of contactomorphisms in every dimension that are smoothly isotopic to the identity but that are not contact isotopic to the identity. In fact, we prove the stronger statement that they are not even symplectically pseudo-isotopic to the identity. We also give examples of pairs of contactomorphisms which are smoothly conjugate to each other but not by contactomorphisms.
Keywords
Cite
@article{arxiv.1504.03366,
title = {Examples of non-trivial contact mapping classes in all dimensions},
author = {Patrick Massot and Klaus Niederkrüger},
journal= {arXiv preprint arXiv:1504.03366},
year = {2019}
}
Comments
14 pages, 1 figure v2: Made some exposition improvements, corrected a mistake pointed out by Sylvain Courte in the proof of Observation 2.1. To appear in IMRN