85 citations · 365 across the 32 of their papers we have counts for
38 papers
Contact resolutions of singular Jacobi structures
Hichem Lassoued, Camille Laurent-Gengoux
We study contact resolutions of Jacobi structures which are contact on an open subset. We give several classes of examples, as well as classes for which it cannot exist.
Numerical Methods in Poisson Geometry and their Application to Mechanics
Oscar Cosserat, Camille Laurent-Gengoux, Vladimir Salnikov
We recall the question of geometric integrators in the context of Poisson geometry, and explain their construction. These Poisson integrators are tested in some mechanical examples…
Normal forms of -graded -manifolds
Alexei Kotov, Camille Laurent-Gengoux, Vladimir Salnikov
Following recent results of A.K. and V.S. on -graded manifolds, we give several local and global normal forms results for -structures on those, i.e. for differential…
Modular class of Lie -algebroids and adjoint representation
Raquel Caseiro, Camille Laurent-Gengoux
We study the modular class of -manifolds, and in particular of negatively graded Lie -algebroid. We show the equivalence of several descriptions of those classes, that i…
On Dirac structures admitting a variational approach
Oscar Cosserat, Camille Laurent-Gengoux, Alexei Kotov +2
We discuss the notion of basic cohomology for Dirac structures and, more generally, Lie algebroids. We then use this notion to characterize the obstruction to a variational formula…
Lie-Rinehart algebra acyclic Lie -algebroid
Camille Laurent-Gengoux, Ruben Louis
We show that there is an equivalence of categories between Lie-Rinehart algebras over a commutative algebra and homotopy equivalence classes of negatively graded Lie…