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arXiv · 1301.5819

On a Poincare lemma for foliations

Eva Miranda·Romero Solha
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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.

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Eva Miranda, Romero Solha. 2013-04-16. On a Poincare lemma for foliations. https://doi.org/10.1142/9789814556866_0007

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