On a Poincare lemma for foliations
Symplectic Geometry
2013-12-03 v2
Abstract
In this paper we revisit a Poincare lemma for foliated forms, with respect to a regular foliation, and compute the foliated cohomology for local models of integrable systems with singularities of nondegenerate type. A key point in this computation is the use of some analytical tools for integrable systems with nondegenerate singularities, including a Poincare lemma for the deformation complex associated to this singular foliation.
Keywords
Cite
@article{arxiv.1301.5819,
title = {On a Poincare lemma for foliations},
author = {Eva Miranda and Romero Solha},
journal= {arXiv preprint arXiv:1301.5819},
year = {2013}
}
Comments
23 pages, an error in proposition 5.1 in the former version was detected and the paper has been rewritten accordingly