30 citations · 136 across the 29 of their papers we have counts for
11 papers · 1 filter
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…
The Gromov-Lawson index and the Baum-Connes assembly map
Moulay-Tahar Benameur
This is a survey paper which gathers some results related with the study of Positive Scalar Curvature metrics in connection with the Baum-Connes assembly map.
Proof of the magnetic gap-labelling conjecture for principal solenoidal tori
Moulay Tahar Benameur, Varghese Mathai
In this note, we prove the magnetic spectral gap-labelling conjecture as stated in [arXiv:1508.01064], in all dimensions, for principal solenoidal tori.
Enlargeability, foliations, and positive scalar curvature
Moulay-Tahar Benameur, James L. Heitsch
We extend the deep and important results of Lichnerowicz, Connes, and Gromov-Lawson which relate geometry and characteristic numbers to the existence and non-existence of metrics o…