76 citations · 205 across the 15 of their papers we have counts for
20 papers
Coulomb branches, quantized zastavas, Kac polynomials, and shuffle algebras
Dinakar Muthiah, Alex Weekes
We previously constructed closed embeddings of Kac-Moody affine Grassmannian slices using fundamental monopole operators. These spaces are defined via the Braverman-Finkelberg-Naka…
Category for truncated shifted Yangians and the bi-infinite Bott-Samelson variety
Joel Kamnitzer, Antoine Labelle, Alexis Leroux-Lapierre +2
In this paper, we study the category of representations of shifted Yangians associated to a simply-laced simple Lie algebra over . In parti…
Fundamental monopole operators and embeddings of Kac-Moody affine Grassmannian slices
Dinakar Muthiah, Alex Weekes
Braverman, Finkelberg, and Nakajima define Kac-Moody affine Grassmannian slices as Coulomb branches of quiver gauge theories and prove that their Coulomb branc…
Lie algebra actions on module categories for truncated shifted Yangians
Joel Kamnitzer, Ben Webster, Alex Weekes +1
We develop a theory of parabolic induction and restriction functors relating modules over Coulomb branch algebras, in the sense of Braverman-Finkelberg-Nakajima. Our functors gener…
Hamiltonian reduction for affine Grassmannian slices and truncated shifted Yangians
Joel Kamnitzer, Khoa Pham, Alex Weekes
Generalized affine Grassmannian slices provide geometric realizations for weight spaces of representations of semisimple Lie algebras. They are also Coulomb branches, symplectic du…
Quiver gauge theories and symplectic singularities
Alex Weekes
Braverman, Finkelberg and Nakajima have recently given a mathematical construction of the Coulomb branches of a large class of gauge theories, as algebraic va…