60 citations · 90 across the 4 of their papers we have counts for
7 papers · 1 filter
Instanton counting via affine Lie algebras II: from Whittaker vectors to the Seiberg-Witten prepotential
Alexander Braverman, Pavel Etingof
We introduce the notion of the (instanton part of the) Seiberg-Witten prepotential for general Schrodinger operators with periodic potential. In the case when the operator in quest…
Instanton counting via affine Lie algebras I: Equivariant J-functions of (affine) flag manifolds and Whittaker vectors
Alexander Braverman
For a semi-simple simply connected algebraic group G we introduce certain parabolic analogues of the Nekrasov partition function (introduced by Nekrasov and studied recently by Nek…
On Euler Characteristic of equivariant sheaves
Alexander Braverman
Let be an algebraically closed field of characteristic and let be another prime number. O. Gabber and F. Loeser proved that for any algebraic torus over an…
Gamma sheaves on reductive groups
Alexander Braverman, David Kazhdan
The purpose of this paper is to introduce and study certain irreducible perverse l-adic sheaves on a reductive group G over a finite field (we call them gamma-sheaves). One can con…
Gamma-functions of representations and lifting
Alexander Braverman, David Kazhdan, V. Vologodsky
Let G be the group of points of a quasi-split reductive algebraic group over a local field F. It follows from the local Langlands conjectures that to every non-trivial additive cha…
Crystals via the affine Grassmannian
Alexander Braverman, Dennis Gaitsgory
Let be a connected reductive group over $\CC$ and let be the Langlands dual group. Crystals for were introduced by Kashiwara as certain ``combinatorial sk…