4 papers
The quantum Hikita conjecture via quasimaps
Hunter Dinkins, Ivan Karpov, Vasily Krylov
We propose a refinement of the quantum Hikita conjecture of Kamnitzer, McBreen, and Proudfoot that bridges the representation theory of Coulomb branches with the enumerative geomet…
A formula for the -character of functions on the nilpotent cone of some Lie algebra representations
Vasily Krylov, Frank Wang
Let be a reductive Lie algebra and a finite-dimensional -representation. When is the representation of a cyclic quiver with equal dimensions, t…
Slant sums of quiver gauge theories
Hunter Dinkins, Vasily Krylov, Reese Lance
We define the slant sum of quiver gauge theories, a gluing on the underlying quivers that identifies a gauge vertex with a framing vertex. Under some mild assumptions, we relate to…
K-theoretic Hikita conjecture for quiver gauge theories
Ilya Dumanski, Vasily Krylov
We study variants of Hikita conjecture for Nakajima quiver varieties and corresponding Coulomb branches. First, we derive the equivariant version of the conjecture from the non-equ…