8 citations · 15 across the 9 of their papers we have counts for
12 papers
The higher fixed point theorem for foliations. Applications to rigidity and integrality
Moulay Tahar Benameur, James L. Heitsch
We give applications of the higher Lefschetz theorems for foliations of [BH10], primarily involving Haefliger cohomology. These results show that the transverse structures of folia…
Higher relative index theorems for foliations
Moulay Tahar Benameur, James L. Heitsch
In this paper we solve the general case of the cohomological relative index problem for foliations of non-compact manifolds. In particular, we significantly generalize the groundbr…
Dirac operators on foliations with invariant transverse measures
Moulay Tahar Benameur, James L. Heitsch
We extend the groundbreaking results of Gromov and Lawson on positive scalar curvature and the Dirac operator on complete Riemannian manifolds to Dirac operators defined along the…
Geometric non-commutative geometry
Moulay Tahar Benameur, James L. Heitsch
In a recent paper, the authors proved that no spin foliation on a compact enlargeable manifold with Hausdorff homotopy graph admits a metric of positive scalar curvature on its lea…
Atiyah covering index theorem for riemannian foliations
Moulay-Tahar Benameur, James L. Heitsch
We use the symbol calculus for foliations developed in our previous paper to derive a cohomological formula for the Connes-Chern character of the semi-finite spectral triple. The s…
Transverse noncommutative geometry of foliations
Moulay-Tahar Benameur, James L. Heitsch
We define an -signature for proper actions on spaces of leaves of transversely oriented foliations with bounded geometry. This is achieved by using the Connes fibration to red…