The subject of these lecture notes is the problem of integrating infinitesimal geometric
structures to global geometric structures. We follow the categorical approach to differential …

In this short note we give a complete characterization of a certain class of compact corank
one Poisson manifolds, those equipped with a closed one-form defining the symplectic …

After a brief summary of the main properties of Poisson manifolds and Lie algebroids in
general, we survey recent work on the modular classes of Poisson and twisted Poisson …

A class of codimension-one foliations has been recently introduced by imposing a natural
compatibility condition with a closed maximally nondegenerate 2-form. In this paper we …

We show that every closed oriented smooth 4-manifold admits a complete singular Poisson
structure in each homotopy class of maps to the 2-sphere. The rank of this structure is 2 …

arXiv:math/0611259v1 [math.DG] 9 Nov 2006 Lectures on Integrability of Lie Brackets Page
1 arXiv:math/0611259v1 [math.DG] 9 Nov 2006 Lectures on Integrability of Lie Brackets …

We show that a Bott-Morse foliation in dimension 3 admits a linear, singular, Poisson
structure of rank 2 with Bott-Morse singularities. We provide the Poisson bivectors for each …

h-Principle for Contact Foliations | International Mathematics Research Notices | Oxford
Academic Skip to Main Content Advertisement Oxford Academic Journals Books Search …

One may ask whether this is a reasonable definition of Poisson module. It is, in a sense, the
categorical notion of Poisson bimodule as it verifies the so-called square-zero construction …

arXiv:math/0610542v1 [math.DG] 18 Oct 2006 Page 1 arXiv:math/0610542v1 [math.DG] 18 Oct
2006 THE SYMPLECTIZATION FUNCTOR RUI LOJA FERNANDES Abstract. We describe a …