97 citations · 456 across the 44 of their papers we have counts for
4 papers · 1 filter
A relation between number of integral points, volumes of faces and degree of the discriminant of smooth lattice polytopes
Alicia Dickenstein, Benjamin Nill, Michèle Vergne
We present a formula for the degree of the discriminant of a smooth projective toric variety associated to a lattice polytope P, in terms of the number of integral points in the in…
Kirillov's formula and Guillemin-Sternberg conjecture
Michel Duflo, Michèle Vergne
Let G be a connected reductive real Lie group, and H a compact connected subgroup. Harish-Chandra associates to a regular coadjoint admissible orbit M of G some unitary representat…
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…
A homotopy for a complex of free Lie algebras
Michele Vergne
Using the Guichardet construction, we compute the cohomology groups of a complex of free Lie algebras introduced by Alekseev and Torossian.