A smooth codimension-one foliation of the five-sphere by symplectic leaves
Symplectic Geometry
2020-01-21 v3 Geometric Topology
Abstract
We construct a smooth codimension-one foliation on the five-sphere in which every leaf is a symplectic four-manifold and such that the symplectic structure varies smoothly. Our construction implies the existence of a complete regular Poisson structure on the five-sphere.
Cite
@article{arxiv.0909.3549,
title = {A smooth codimension-one foliation of the five-sphere by symplectic leaves},
author = {Pablo Suárez-Serrato and Alberto Verjovsky},
journal= {arXiv preprint arXiv:0909.3549},
year = {2020}
}
Comments
We have withdrawn our paper due to a mistake in the main reference paper and errors in our construction. More over our result has been superseded by Y. Mitsumatsu (arXiv:1101.2319 Leafwise Symplectic Structures on Lawson's Foliation)