30 citations · 136 across the 29 of their papers we have counts for
6 papers · 1 filter
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…
A symbol calculus for foliations
Moulay Tahar Benameur, L. James Heitsch
The classical Getzler rescaling theorem is extended to the transverse geometry of foliations. More precisely, a Getzler rescaling calculus, as well as a Block-Fox calculus of asymp…
An interesting example for spectral invariants
M-T. Benameur, J. L. Heitsch, Charlotte Wahl
In "Illinois J. of Math. {\bf 38} (1994) 653--678", the heat operator of a Bismut superconnection for a family of generalized Dirac operators is defined along the leaves of a folia…
Index theorey and Non-Commutative Geometry. II. Dirac operators and index bundles
Moulay Benameur, James Heitsch
When the index bundle of a longitudinal Dirac type operator is transversely smooth, we define its Chern character in Haefliger cohomology and relate it to the Chern character of th…