$C^0$-rigidity of Poisson diffeomorphisms
Symplectic Geometry
2023-06-22 v2
Abstract
We prove the Poisson version of the Gromov-Eliashberg's -rigidity. More precisely, we prove that the group of Poisson diffeomorphisms is closed with respect to the topology inside the group of all diffeomorphisms. The proof relies on the Poisson version of the energy-capacity inequality.
Keywords
Cite
@article{arxiv.2302.05559,
title = {$C^0$-rigidity of Poisson diffeomorphisms},
author = {Dušan Joksimović},
journal= {arXiv preprint arXiv:2302.05559},
year = {2023}
}
Comments
6 pages, final version