97 citations · 456 across the 44 of their papers we have counts for
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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…
The Horn inequalities from a geometric point of view
Nicole Berline, Michèle Vergne, Michael Walter
We give an exposition of the Horn inequalities and their triple role characterizing tensor product invariants, eigenvalues of sums of Hermitian matrices, and intersections of Schub…
Analytic continuation of a parametric polytope and wall-crossing
Nicole Berline, Michèle Vergne
We define a set theoretic "analytic continuation" of a polytope defined by inequalities. For the regular values of the parameter, our construction coincides with the parallel trans…
The equivariant Todd genus of a complete toric variety, with Danilov condition
Nicole Berline, Michele Vergne
We write the equivariant Todd class of a general complete toric variety as an explicit combination of the orbit closures, the coefficients being analytic functions on the Lie algeb…
Mixed toric residues and tropical degenerations
Andras Szenes, Michele Vergne
Building on our earlier work on toric residues and reduction, we give a proof for the mixed toric residue conejecture of Batyrev and Materov. We simplify and streamline our techniq…