8 citations · 16 across the 4 of their papers we have counts for
5 papers
Box splines and the equivariant index theorem
C. De Concini, C. Procesi, M. Vergne
In this article, we start to recall the inversion formula for the convolution with the Box spline. The equivariant cohomology and the equivariant K-theory with respect to a compact…
Infinitesimal index: cohomology computations
Corrado De Concini, Claudio Procesi, Michele Vergne
In this note several computations of equivariant cohomology groups are performed. For the compactly supported equivariant cohomology, the notion of infinitesimal index developed in…
The infinitesimal index
Corrado de Concini, Claudio Procesi, Michele Vergne
In this note, we study an invariant associated to the zeros of the moment map generated by an action form, the infinitesimal index. This construction will be used to study the comp…
Vector partition functions and index of transversally elliptic operators
Corrado De Concini, Claudio C. Procesi, Michele Vergne
Let G be a torus acting linearly on a complex vector space M, and let X be the list of weights of G in M. We determine the equivariant K-theory of the open subset of M consisting o…
On the localization theorem in equivariant cohomology
Michel Brion, Michèle Vergne
We present a simple proof of a precise version of the localization theorem in equivariant cohomology. As an application, we describe the cohomology algebra of any compact symplecti…