10 citations · 11 across the 3 of their papers we have counts for
4 papers
Blow-up groupoid of singular foliations
Omar Mohsen
We introduce a blow-up construction of a smooth manifold along the singular leaves of an arbitrary singular foliation in the sense of Stefan and Sussmann, as well as a blow-up cons…
Witten deformation using Lie groupoids
Omar Mohsen
We express Witten's deformation of Morse functions using deformation to the normal cone and -modules. This allows us to obtain asymptotics of the `large eigenvalues'. Our meth…
On the deformation groupoid of the inhomogeneous pseudo-differential Calculus
Omar Mohsen
In 1974, Folland and Stein constructed an inhomogeneous pseudo-differential calculus based on analysis on the Heisenberg group. This Heisenberg calculus was generalized by several…
Chern Simons invariants in theory
Omar Mohsen
For a unitary representation of the fundamental group of a compact smooth manifold, Atiyah, Patodi, Singer defined the so called alpha-invariant of the representation using Chern-S…