3 papers
math.KT2026
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…
math.OA2025
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:=\m…
math.KT2025
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…