13 citations · 25 across the 12 of their papers we have counts for
15 papers
Gysin maps and wrong way functoriality via geometric deformation groupoids
Paulo Carrillo Rouse, Quentin Karegar Baneh Kohal
In this article we study the normal bundle and the deformation to the normal cone functors to get deformation Lie groupoids that allow us to construct pushforward maps in any suita…
Groupoids, equivalence bibundles and bimodules for noncommutative solenoids
Paulo Carrillo Rouse, Laurent Guillaume
Let be a prime number and the -solenoid. For we consider in this paper a naturally associated action groupoid $S_α:=\mat…
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 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…
Longitudinal b-operators, Blups and Index theorems
Ibrahim Akrour, Paulo Carrillo Rouse
Using recently introduced Debord-Skandalis Blup's groupoids we study index theory for a compact foliated manifold with boundary inducing a foliation in its boundary. For this we co…
Pseudodifferential Calculus, Twisted gerbes and twisted index theory for Lie groupoids
Paulo Carrillo Rouse
The goal of this paper is to construct a calculus whose higher indices are naturally elements in the twisted K-theory groups for Lie groupoids. Given a Lie groupoid and a $PU(H…