97 citations · 456 across the 44 of their papers we have counts for
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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.
Three Ehrhart Quasi-polynomials
Velleda Baldoni, Nicole Berline, Jesús A. De Loera +2
Let be a semi-rational parametric polytope, where is a real multi-parameter. We study intermediate sums of polynomial functions on ,…
Inequalities for Moment Cones of Finite-Dimensional Representations
Michèle Vergne, Michael Walter
We give a general description of the moment cone associated with an arbitrary finite-dimensional unitary representation of a compact, connected Lie group in terms of finitely many…
The multiplicities of the equivariant index of twisted Dirac operators
Paul-Emile Paradan, Michèle Vergne
In this note, we give a geometric expression for the multiplicities of the equivariant index of a Dirac operator twisted by a line bundle.
Intermediate Sums on Polyhedra II: Bidegree and Poisson Formula
Velleda Baldoni, Nicole Berline, Jesús A. De Loera +2
We continue our study of intermediate sums over polyhedra, interpolating between integrals and discrete sums, which were introduced by A. Barvinok [Computing the Ehrhart quasi-poly…