22 citations · 33 across the 6 of their papers we have counts for
7 papers
A cohomological formula for the Atiyah-Patodi-Singer index on manifolds with boundary
Paulo Carrillo Rouse, Jean-Marie Lescure, Bertrand Monthubert
We give a cohomological formula for the index of a fully elliptic pseudodifferential operator on a manifold with boundary. As in the classic case of Atiyah-Singer, we use an embedd…
The -groups and the index theory of certain comparison -algebras
Bertrand Monthubert, Victor Nistor
We compute the -theory of comparison -algebra associated to a manifold with corners. These comparison algebras are an example of the abstract pseudodifferential algebras in…
An index theorem for manifolds with boundary
Paulo Carrillo Rouse, Bertrand Monthubert
In his book (II.5), Connes gives a proof of the Atiyah-Singer index theorem for closed manifolds by using deformation groupoids and appropiate actions of these on R^N. Following th…
Boutet de Monvel's Calculus and Groupoids I
Johannes Aastrup, Severino T. Melo, Bertrand Monthubert +1
Can Boutet de Monvel's algebra on a compact manifold with boundary be obtained as the algebra of pseudodifferential operators on some Lie groupoid ? If it could, the ke…
A topological index theorem for manifolds with corners
Bertrand Monthubert, Victor Nistor
We define an analytic index and prove a topological index theorem for a non-compact manifold with poly-cylindrical ends. We prove that an elliptic operator on has…
Spectral invariance for certain algebras of pseudodifferential operators
Robert Lauter, Bertrand Monthubert, Victor Nistor
We construct algebras of pseudodifferential operators on a continuous family groupoid G that are closed under holomorphic functional calculus, contain the algebra of all pseudodiff…
Pseudodifferential calculus on manifolds with corners and groupoids
Bertrand Monthubert
We build a longitudinally smooth differentiable groupoid associated to any manifold with corners. The pseudodifferential calculus on this groupoid coincides with the pseudodifferen…