129 citations · 692 across the 54 of their papers we have counts for
60 papers
Duality functors for Coulomb branches I
Sabin Cautis, Eric Vasserot
To a quiver of finite type one can associate two abelian categories: the category of finite dimensional modules over the corresponding affine quiver Hecke algebra and the Coulomb c…
Hecke operators on symplectic surfaces and -independence
Ben Davison, Lucien Hennecart, Tasuki Kinjo +2
We prove Toda's chi-independence conjecture for the BPS cohomology of moduli spaces of one-dimensional sheaves on quasi-projective symplectic surfaces, relative to the Chow variety…
Cohomological Hall algebras of one-dimensional sheaves on surfaces and Yangians
Duiliu-Emanuel Diaconescu, Mauro Porta, Francesco Sala +2
This paper provides the first algebraic characterization of an algebra of cohomological Hecke operators associated with modifications of coherent sheaves on a smooth surface al…
On the geometric Satake equivalence for Kac-Moody groups
Alexis Bouthier, Eric Vasserot
This article establishes a geometric Satake equivalence for affine Kac-Moody groups as an equivalence of abelian semisimple categories over algebraically closed fields. We define a…
Representations of shifted affine quantum groups and Coulomb branches
Michela Varagnolo, Eric Vasserot
We compare the integral category O of shifted affine quantum groups of symmetric and non symmetric types. To do so we compute the K-theoretic analog of the Coulomb branches with sy…
Nilpotent cohomological Hall algebras of surfaces
Duiliu-Emanuel Diaconescu, Mauro Porta, Francesco Sala +2
This paper develops a framework for systematically studying cohomological "Hecke operators" associated with modifications of coherent sheaves on a smooth surface along a fixed…