Non-degeneracy of the Hofer norm for Poisson structures
Symplectic Geometry
2022-07-27 v3
Abstract
We remark that, as in the symplectic case, the Hofer norm on the Hamiltonian group of a Poisson manifold is non-degenerate. The proof is a straightforward application of tools from symplectic topology.
Cite
@article{arxiv.1809.10722,
title = {Non-degeneracy of the Hofer norm for Poisson structures},
author = {Dušan Joksimović and Ioan Marcut},
journal= {arXiv preprint arXiv:1809.10722},
year = {2022}
}
Comments
4 pages. The first version, submitted solo by Marcut, contained a mistake which was pointed out and fixed by Joksimovic