10 citations · 28 across the 14 of their papers we have counts for
14 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…
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…
Vertex functions for bow varieties and their Mirror Symmetry
Tommaso Maria Botta, Hunter Dinkins
In this paper, we study the vertex functions of finite type A bow varieties. Vertex functions are K-theoretic analogs of I-functions, and 3d mirror symmetry predicts that the q-dif…
Vertex functions of type Nakajima quiver varieties
Hunter Dinkins, Jiwu Jang
We study the quasimap vertex functions of type Nakajima quiver varieties. When the quiver varieties have isolated torus fixed points, we compute the coefficients of the vertex…
Wreath Macdonald polynomials, quiver varieties, and quasimap counts
Jeffrey Ayers, Hunter Dinkins
We study the -theoretic enumerative geometry of cyclic Nakajima quiver varieties, with particular focus on , the equivariant Hi…
On the vertex functions of type A quiver varieties
Hunter Dinkins
The goal of this paper is to better understand the quasimap vertex functions of type Nakajima quiver varieties. To that end, we construct an explicit embedding of any type …
Exotic Quantum Difference Equations and Integral Solutions
Hunter Dinkins
One of the fundamental objects in the -theoretic enumerative geometry of Nakajima quiver varieties is known as the the capping operator. It is uniquely determined as the fundame…
Euler characteristic of stable envelopes
Hunter Dinkins, Andrey Smirnov
In this paper we prove a formula relating the equivariant Euler characteristic of -theoretic stable envelopes to an object known as the index vertex for the cotangent bundle of…
Elliptic stable envelopes of affine type quiver varieties
Hunter Dinkins
We generalize Smirnov's formula for the elliptic stable envelopes of the Hilbert scheme of points in to the case of affine type Nakajima quiver varieties constru…
3d mirror symmetry of the cotangent bundle of the full flag variety
Hunter Dinkins
Aganagic and Okounkov proved that the elliptic stable envelope provides the pole cancellation matrix for the enumerative invariants of quiver varieties known as vertex functions. T…
Symplectic Duality of
Hunter Dinkins
In this paper, we explore a consequence of symplectic duality (also known as 3d mirror symmetry) in the setting of enumerative geometry. The theory of quasimaps allows one to assoc…
Capped vertex with descendants for zero dimensional quiver varieties
Hunter Dinkins, Andrey Smirnov
In this paper, we study the capped vertex functions associated to certain zero-dimensional type- Nakajima quiver varieties. The insertion of descendants into the vertex function…
Quasimaps to zero-dimensional -quiver varieties
Hunter Dinkins, Andrey Smirnov
We consider the moduli spaces of quasimaps to zero-dimensional Nakajima quiver varieties. An explicit combinatorial formula for the equivariant Euler characteristic of…
Characters of tangent spaces at torus fixed points and -mirror symmetry
Hunter Dinkins, Andrey Smirnov
Let be a Nakajima quiver variety and its -mirror. We consider the action of the Picard torus on . Assuming…