97 citations · 456 across the 44 of their papers we have counts for
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The equivariant Riemann-Roch theorem and the graded Todd class
Michele Vergne
Let G be a torus and M a G-Hamiltonian manifold with Kostant line bundle L and proper moment map. Let P be the weight lattice of G. We consider a parameter k and the multiplicity $…
Equivariant Dirac operators and differentiable geometric invariant theory
Paul-Emile Paradan, Michele Vergne
In this paper, we give a geometric expression for the multiplicities of the equivariant index of a spin-c Dirac operator.
Index of transversally elliptic operators
Paul-Emile Paradan, Michèle Vergne
In 1996, Berline and Vergne gave a cohomological formula for the index of a transversally elliptic operator. In this paper we propose a new point of view where the cohomological fo…
Equivariant Chern characters with generalized coefficients
Paul-Emile Paradan, Michèle Vergne
These notes form the next episode in a series of articles dedicated to a detailed proof of a cohomological index formula for transversally elliptic pseudo-differential operators an…
Equivariant relative Thom forms and Chern characters
Paul-Emile Paradan, Michèle Vergne
These notes are the first chapter of a monograph, dedicated to a detailed proof of the equivariant index theorem for transversally elliptic operators. In this preliminary chapter,…
Quillen's relative Chern character is multiplicative
Paul-Emile Paradan, Michèle Vergne
In the 80's, Quillen constructed a de Rham relative cohomology class associated to a smooth morphism between vector bundles, that we call the relative Quillen Chern character. In t…