Poisson manifolds play a fundamental role in Hamiltonian dynamics, where they serve as
phase spaces. They also arise naturally in other mathematical problems, and form a bridge …

Let M 2 n be a Poisson manifold with Poisson bivector field Π. We say that M is b-Poisson if
the map Π n: M→ Λ 2 n (TM) intersects the zero section transversally on a codimension one …

We give a generalization of toric symplectic geometry to Poisson manifolds which are
symplectic away from a collection of hypersurfaces forming a normal crossing configuration …

arXiv:1307.3277v4 [math.SG] 11 Jun 2014 Page 1 arXiv:1307.3277v4 [math.SG] 11 Jun 2014
DEFORMATIONS OF LOG SYMPLECTIC STRUCTURES IOAN MARCUT, AND BORIS …

Motivated by the study of symplectic Lie algebroids, we focus on a type of algebroid (called
an E-tangent bundle) which is particularly well-suited to the study of singular differential …

In this thesis we study geometric structures from Poisson and generalized complex geometry
with mild singular behavior using Lie algebroids. The process of lifting such structures to …

On classifie les structures b m-Nambu de degré maximal en utilisant la b m-cohomologie. Le
complexe des b m-formes est une extension du complexe de De Rham et permet considérer …

Moser proved in 1965 in his seminal paper [15] that two volume forms on a compact
manifold can be conjugated by a diffeomorphism, that is to say they are equivalent, if and …

Poisson structures of divisor-type are those whose degeneracy can be captured by a divisor
ideal, which is a locally principal ideal sheaf with nowhere-dense quotient support. This is a …

In this paper, we generalize the theory of toric symplectic geometry to a class of Poisson
manifolds which are generically symplectic but degenerate along a normal crossing …