97 citations · 456 across the 44 of their papers we have counts for
52 papers
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…
Moment cone membership for quivers in strongly polynomial time
Michèle Vergne, Michael Walter
In this note we observe that membership in moment cones of spaces of quiver representations can be decided in strongly polynomial time, for any acyclic quiver. This generalizes a r…
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…
Semi-classical analysis of piecewise quasi-polynomial functions and applications to geometric quantization
Yiannis Loizides, Paul-Emile Paradan, Michele Vergne
Motivated by applications to multiplicity formulas in index theory, we study a family of distributions associated to a piecewise quasi-polynomial function . The family…
Horn conditions for quiver subrepresentations and the moment map
Velleda Baldoni, Michèle Vergne, Michael Walter
We give inductive conditions that characterize the Schubert positions of subrepresentations of a general quiver representation. Our results generalize Belkale's criterion for the i…
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…