Non-exactness of toric Poisson structures
Differential Geometry
2022-09-07 v1
Abstract
We prove that a Poisson structure on a projective toric variety which is invariant by the torus action and whose symplectic leaves are the torus orbits is not exact. This is deduced from a geometric criterion for non-exactness of Poisson structures with a finite number of symplectic leaves.
Cite
@article{arxiv.2204.11916,
title = {Non-exactness of toric Poisson structures},
author = {David Martínez Torres and Marcelo Silva},
journal= {arXiv preprint arXiv:2204.11916},
year = {2022}
}