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math.RT2025
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…
math.AG2025
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…
math.RT2025
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…