Symplectic Camel theorems and ${\mathcal C}^0$-rigidity of coisotropic submanifolds
Symplectic Geometry
2022-09-30 v1
Abstract
This paper deals with the -rigidity of the reduction of coiostropic submanifolds under the action of symplectic homeomorphism. More precisely, we exhibit several situations where a symplectic homeomorphism that takes a coisotropic submanifold to a smooth submanifold (which are then known to be coisotropic by a result of Humili\`ere-Leclercq-Seyfaddini) abides to the non-squeezing property in the reduction.
Keywords
Cite
@article{arxiv.2209.14794,
title = {Symplectic Camel theorems and ${\mathcal C}^0$-rigidity of coisotropic submanifolds},
author = {Emmanuel Opshtein},
journal= {arXiv preprint arXiv:2209.14794},
year = {2022}
}