19 citations · 48 across the 9 of their papers we have counts for
10 papers
On Relative Cohomology for Lie groupoids and Lie Algebroids
Maria Amelia Salazar
Motivated by our attempt to understand characteristic classes of Lie groupoids and geometric structures, we are brought back to the fundamentals of the cohomology theories of Lie g…
Multiplicative Gray stability
Camilo Angulo, Maria Amelia Salazar, Daniele Sepe
In this paper we prove Gray stability for compact contact groupoids and we use it to prove stability results for deformations of the induced Jacobi bundles.
Van Est differentiation and integration
Eckhard Meinrenken, Maria Amelia Salazar
The classical Van Est theory relates the smooth cohomology of Lie groups with the cohomology of the associated Lie algebra, or its relative versions. Some aspects of this theory ge…
From PDEs to Pfaffian fibrations
Francesco Cattafi, Marius Crainic, Maria Amelia Salazar
We explain how to encode the essential data of a PDE on jet bundle into a more intrinsic object called Pfaffian fibration. We provide motivations to study this new notion and show…
Local formulas for multiplicative forms
Alejandro Cabrera, Ioan Marcut, Maria Amelia Salazar
We provide explicit formulas for integrating multiplicative forms on local Lie groupoids in terms of infinitesimal data. Combined with our previous work [8], which constructs the l…
On local integration of Lie brackets
Alejandro Cabrera, Ioan Marcut, Maria Amelia Salazar
We give a direct, explicit and self-contained construction of a local Lie groupoid integrating a given Lie algebroid which only depends on the choice of a spray vector field liftin…
Contact Isotropic Realisations of Jacobi Manifolds via Spencer Operators
Maria Amelia Salazar, Daniele Sepe
Motivated by the importance of symplectic isotropic realisations in the study of Poisson manifolds, this paper investigates the local and global theory of contact isotropic realisa…
Jacobi structures and Spencer operators
Marius Crainic, Maria Amelia Salazar
This paper explains the fundamental relation between Jacobi structures and the classical Spencer operator coming from the theory of PDEs so as to provide a direct and geometric app…
Pfaffian groupoids
Maria Amelia Salazar
This thesis is about the study of Lie groupoids endowed with a compatible (multiplicative) differential 1-form. The motivation and scope of the present work is to study the geometr…
Multiplicative Forms and Spencer Operators
Marius Crainic, Maria Amelia Salazar, Ivan Struchiner
Motivated by our attempt to recast Cartan's work on Lie pseudogroups in a more global and modern language, we are brought back to the question of understanding the linearization of…