Add to ORKGAbstract: Given a Lie algebroid and a bundle over its base which is endowed with a localizable Poisson structure and a flat connection, we construct an ex-tended bundle whose dual is endowed with an almost-Poisson structure that is a quadratic Poisson structure when a certain compatibility property is satisfied. This new formalism on Lie algebroids describes systems with internal degrees of freedom
A hypersymplectic structure on a Lie algebroid determines several Poisson–Nijenhuis, ΩN and PΩ struc...
LaTex, 19 pages, 6 figures (important changes in v2)International audienceIn this paper we prove tha...
Let (M,π) be a Poisson manifold. A Poisson submanifold P ⊂ M gives rise to a Lie algebroid AP → P. F...
We show that every transitive Lie algebroid over a connected symplectic manifold comes from an intri...
In this thesis we study geometric structures from Poisson and generalized complex geometry with mild...
In the present paper we explicitly construct deformation quantizations of certain Poisson structures...
In the present paper we explicitly construct deformation quantizations of certain Poisson structures...
To appear in Dissertationes Mathematicae. 57 pages, 2 figures. Subsection 3.2.6 about integration of...
In this letter, first we give a decomposition for any Lie-Poisson structure pi(g) associated to the ...
International audienceEmphasizing the role of Gerstenhaber algebras and of higher derived brackets i...
International audienceEmphasizing the role of Gerstenhaber algebras and of higher derived brackets i...
This thesis is devoted to the study of holomorphic Poisson structures and Lie algebroids, and their ...
This thesis is devoted to the study of holomorphic Poisson structures and Lie algebroids, and their ...
Several types of generically-nondegenerate Poisson structures can be effectively studied as symplect...
LaTex, 19 pages, 6 figures (important changes in v2)International audienceIn this paper we prove tha...
A hypersymplectic structure on a Lie algebroid determines several Poisson–Nijenhuis, ΩN and PΩ struc...
LaTex, 19 pages, 6 figures (important changes in v2)International audienceIn this paper we prove tha...
Let (M,π) be a Poisson manifold. A Poisson submanifold P ⊂ M gives rise to a Lie algebroid AP → P. F...
We show that every transitive Lie algebroid over a connected symplectic manifold comes from an intri...
In this thesis we study geometric structures from Poisson and generalized complex geometry with mild...
In the present paper we explicitly construct deformation quantizations of certain Poisson structures...
In the present paper we explicitly construct deformation quantizations of certain Poisson structures...
To appear in Dissertationes Mathematicae. 57 pages, 2 figures. Subsection 3.2.6 about integration of...
In this letter, first we give a decomposition for any Lie-Poisson structure pi(g) associated to the ...
International audienceEmphasizing the role of Gerstenhaber algebras and of higher derived brackets i...
International audienceEmphasizing the role of Gerstenhaber algebras and of higher derived brackets i...
This thesis is devoted to the study of holomorphic Poisson structures and Lie algebroids, and their ...
This thesis is devoted to the study of holomorphic Poisson structures and Lie algebroids, and their ...
Several types of generically-nondegenerate Poisson structures can be effectively studied as symplect...
LaTex, 19 pages, 6 figures (important changes in v2)International audienceIn this paper we prove tha...
A hypersymplectic structure on a Lie algebroid determines several Poisson–Nijenhuis, ΩN and PΩ struc...
LaTex, 19 pages, 6 figures (important changes in v2)International audienceIn this paper we prove tha...
Let (M,π) be a Poisson manifold. A Poisson submanifold P ⊂ M gives rise to a Lie algebroid AP → P. F...