2 citations · 2 across the 1 of their papers we have counts for
2 papers
math.KT2009★ 2 cited
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…
math.OA2001
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…