4 citations · 4 across the 3 of their papers we have counts for
3 papers
math.GT2022
Bott Integrability and Higher Integrability; Higher Cheeger-Simons and Godbillon-Vey Invariants
Oliver Attie, Sylvain Cappell
This paper studies the interaction of for a manifold with Bott's original obstruction to integrability, and with differential geometric invariants such as G…
math.OA2022
Surgery On Foliations
Oliver Attie, Sylvain Cappell
In this paper, we set up two surgery theories and two kinds of Whitehead torsion for foliations. First, we construct a bounded surgery theory and bounded Whitehead torsion for foli…
math.GT2003★ 4 cited
A Surgery Theory for Manifolds of Bounded Geometry
Oliver Attie
A surgery classification theory is introduced for manifolds of bounded geometry up to quasi-isometry. The Borel conjecture for this theory is proven for flat Euclidean space.