Codimension one foliations calibrated by non-degenerate closed 2-forms
Differential Geometry
2018-07-31 v2 Symplectic Geometry
Abstract
A class of codimension one foliations has been recently introduced by imposing a natural compatibility condition with a closed maximally non-degenerate 2-form. In this paper we study for such foliations the information captured by a Donaldson type submanifold. In particular we deduce that their leaf spaces are homeomorphic to leaf spaces of 3-dimensional taut foliations. We also introduce surgery constructions to show that this class of foliations is broad enough. Our techniques come mainly from symplectic geometry.
Keywords
Cite
@article{arxiv.math/0602576,
title = {Codimension one foliations calibrated by non-degenerate closed 2-forms},
author = {D. Martinez Torres},
journal= {arXiv preprint arXiv:math/0602576},
year = {2018}
}
Comments
Title changed. Abstract expanded. Introduction rewritten. Four figures added. Sections 4.3 and 5 removed. Bibliography updated. Journal reference added