27 citations · 166 across the 27 of their papers we have counts for
6 papers · 1 filter
Smooth distributions are finitely generated
Lance D. Drager, Jeffrey M. Lee, Efton Park +1
A subbundle of variable dimension inside the tangent bundle of a smooth manifold is called a smooth distribution if it is the pointwise span of a family of smooth vector fields. We…
The equivariant index theorem for transversally elliptic operators and the basic index theorem for Riemannian foliations
Jochen Brüning, Franz W. Kamber, Ken Richardson
In this expository paper, we explain a formula for the multiplicities of the index of an equivariant transversally elliptic operator on a -manifold. The formula is a sum of inte…
Index theory for basic Dirac operators on Riemannian foliations
Jochen Brüning, Franz W. Kamber, Ken Richardson
In this paper we prove a formula for the analytic index of a basic Dirac-type operator on a Riemannian foliation, solving a problem that has been open for many years. We also consi…
Modified differentials and basic cohomology for Riemannian foliations
Georges Habib, Ken Richardson
We define a new version of the exterior derivative on the basic forms of a Riemannian foliation to obtain a new form of basic cohomology that satisfies Poincaré duality in the tran…
Transversal Dirac operators on distributions, foliations, and G-manifolds: Lecture notes
Ken Richardson
In these survey lectures, we investigate the geometric and analytic properties of transverse Dirac operators. In particular, we define a transverse Dirac operator associated to a d…
The eta invariant and equivariant index of transversally elliptic operators
Jochen Bruening, Franz Kamber, Ken Richardson
We prove a formula for the multiplicities of the index of an equivariant transversally elliptic operator on a -manifold. The formula is a sum of integrals over blowups of the st…