97 citations · 456 across the 44 of their papers we have counts for
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Tensor product of holomorphic discrete series representations of U(p,q) and quivers
Velleda Baldoni, Michèle Vergne
As shown by P-E Paradan, the set of orbits contained in the sum of two holomorphic orbits in the Lie algebra of U(p,q) is determined by a set of inequalities similar to the Horn in…
Bouquets revisited and equivariant elliptic cohomology
Michele Vergne
Let M be a spin manifold with a circular action. Given an elliptic curve E, we introduce, as in Grojnowski, elliptic bouquets of germs of holomorphic equivariant cohomology classes…
Horn inequalities and quivers
Velleda Baldoni, Michèle Vergne, Michael Walter
Let G be a complex reductive group acting on a finite-dimensional complex vector space H. Let B be a Borel subgroup of G and let T be the associated torus. The Mumford cone is the…
Computation of Dilated Kronecker Coefficients
Velleda Baldoni, Michèle Vergne, Michael Walter
The computation of Kronecker coefficients is a challenging problem with a variety of applications. In this paper we present an approach based on methods from symplectic geometry an…
Multiplicity of compact group representations and applications to Kronecker coefficients
Velleda Baldoni, Michele Vergne
These notes are an expanded version of a talk given by the second author. Our main interest is focused on the challenging problem of computing Kronecker coefficients. We decided, a…
Multiple Bernoulli series and volumes of moduli spaces of flat bundles over surfaces
Velleda Baldoni, Arzu Boysal, Michèle Vergne
Using Szenes formula for multiple Bernoulli series we explain how to compute Witten series associated to classical Lie algebras. Particular instances of these series compute volume…