10 citations · 17 across the 11 of their papers we have counts for
14 papers
Symplectic algebroids, groupoid Toeplitz operators and deformation quantization
Clément Cren, Jean-Marie Lescure, Omar Mohsen
We use Toeplitz operators to define a star-product on Poisson manifolds whose Poisson structure is induced by a symplectic Lie algebroid. The Toeplitz operators we consider are def…
Fredholm anomalies on manifold with corners of low codimensions and conormal corner cycles
Paulo Carrillo Rouse, Jean-Marie Lescure
Given a connected manifold with corners of any codimension there is a very basic and computable homology theory called conormal homology defined in terms of faces and orientati…
On evolution equations for Lie groupoids
Jean-Marie Lescure, Stéphane Vassout
Using the calculus of Fourier integral operators on Lie groupoids developped in [18], we study the fundamental solution of the evolution equation ( t + iP)u = 0…
On Fredholm boundary conditions on manifolds with corners I: Global corner's cycles obstructions
Paulo Carrillo Rouse, Jean-Marie Lescure, Mario Velasquez
Given a connected manifold with corners of any codimension there is a very basic and computable homology theory called conormal homology defined in terms of faces and orientations…
A geometric approach to K-homology for Lie manifolds
Karsten Bohlen, Jean-Marie Lescure
We show that the computation of the Fredholm index of a fully elliptic pseudodifferential operator on an integrated Lie manifold can be reduced to the computation of the index of a…
Geometric obstructions for Fredholm boundary conditions for manifolds with corners
Paulo Carrillo Rouse, Jean-Marie Lescure
For every connected manifold with corners we use a homology theory called conormal homology, defined in terms of faces and incidences and whose cycles correspond geometrically to c…