On the rigidity of translated points
Symplectic Geometry
2024-09-16 v1
Abstract
We show that there exist contact isotopies of the standard contact sphere whose time-1 maps do not have any translated points which are optimally close to the identity in the Shelukhin-Hofer distance. This proves the sharpness of a theorem of Shelukhin on the existence of translated points for contact isotopies of Liouville fillable contact manifolds with small enough Shelukhin-Hofer norm.
Keywords
Cite
@article{arxiv.2409.08962,
title = {On the rigidity of translated points},
author = {Dylan Cant and Jakob Hedicke},
journal= {arXiv preprint arXiv:2409.08962},
year = {2024}
}
Comments
16 pages, 3 figures