A h-principle for symplectic foliations
Symplectic Geometry
2011-04-06 v2 Differential Geometry
Abstract
We show that a classical result of Gromov in symplectic geometry extends to the context of symplectic foliations, which we regard as a -principle for (regular) Poisson geometry. Namely, we formulate a sufficient cohomological criterion for a regular bivector to be homotopic to a regular Poisson structure, in the spirit of Haefliger's criterion for homotoping a distribution to a foliation. We give an example to show that this criterion is not too unsharp.
Keywords
Cite
@article{arxiv.1010.3447,
title = {A h-principle for symplectic foliations},
author = {Rui Loja Fernandes and Pedro Frejlich},
journal= {arXiv preprint arXiv:1010.3447},
year = {2011}
}
Comments
9 pages; final version accepted for publication by IMRN