194 citations · 575 across the 53 of their papers we have counts for
5 papers · 1 filter
Twisted zastava and -Whittaker functions
Alexander Braverman, Michael Finkelberg
In this note, we extend the results of arxiv:1111.2266 and arxiv:1203.1583 to the non simply laced case. To this end we introduce and study the twisted zastava spaces.
Gaiotto-Witten superpotential and Whittaker D-modules on monopoles
Alexander Braverman, Galyna Dobrovolska, Michael Finkelberg
Let be an almost simple simply connected group over complex numbers. For a positive element of the coroot lattice of let denote the space of based maps from the p…
Instanton moduli spaces and -algebras
Alexander Braverman, Michael Finkelberg, Hiraku Nakajima
We describe the (equivariant) intersection cohomology of certain moduli spaces ("framed Uhlenbeck spaces") together with some structures on them (such as e.g.\ the Poincaré pairing…
Iwahori-Hecke algebras for p-adic loop groups
Alexander Braverman, David Kazhdan, Manish Patnaik
This paper is a continuation of a previous paper in which the first two authors have introduced the spherical Hecke algebra and the Satake isomorphism for an untwisted affine Kac-M…
Cartan decomposition for complex loop groups
Alexander Braverman, David Kazhdan
In this note we formulate and prove a version of Cartan decomposition for holomorphic loop groups, similar to Cartan decomposition for -adic loop groups, discussed proved by Gar…