A. Braverman

activity

19982004

most citedInstanton counting via affine Lie algebras I: Equivariant J-functions of (affine) flag manifolds and Whittaker vectors

60 citations · 90 across the 4 of their papers we have counts for

collaborators

9 papers

math.RT2004★ 3 cited

Relation between two geometrically defined bases in representations of $G L_{n}$

Alexander Braverman, Dennis Gaitsgory, Maxim Vybornov

Let $V$ be an irreducible representation of group $G L_{n} (C)$ , which appears as a submodule in $(C^{n})^{\otimes d}$ , where $C^{n}$ is the tautological $n$ -…

math.AG2004★ 1 cited

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…

math.AG2004★ 60 cited

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…

math.RT2002★ 26 cited

Normalized intertwining operators and nilpotent elements in the Langlands dual group

Alexander Braverman, David Kazhdan

Let $F$ be a local non-archimedian field and let $G$ be a group of points of a split reductive group over $F$ . For a parabolic subgroup $P$ of $G$ we set $X_{P} = G / [P, P]$ . For any two…

math.AG2002

On Euler Characteristic of equivariant sheaves

Alexander Braverman

Let $k$ be an algebraically closed field of characteristic $p > 0$ and let $ℓ$ be another prime number. O. Gabber and F. Loeser proved that for any algebraic torus $T$ over $k$ an…

math.AG2001

Gamma sheaves on reductive groups