Weakly Hamiltonian actions
Symplectic Geometry
2018-02-13 v2
Abstract
In this paper we generalize constructions of non-commutative integrable systems to the context of weakly Hamiltonian actions on Poisson manifolds. In particular we prove that abelian weakly Hamiltonian actions on symplectic manifolds split into Hamiltonian and non-Hamiltonian factors, and explore generalizations in the Poisson setting.
Cite
@article{arxiv.1602.03542,
title = {Weakly Hamiltonian actions},
author = {David Martínez Torres and Eva Miranda},
journal= {arXiv preprint arXiv:1602.03542},
year = {2018}
}
Comments
10 pages, the paper has been rewritten with a focus on the Poisson setting. Motivating examples have been added. The final version will appear at the Journal of Geometry and Physics