On the vertex functions of type A quiver varieties

2023/08/09 by Dinkins, Hunter
#Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2308.05094

Abstract

The goal of this paper is to better understand the quasimap vertex functions of type A Nakajima quiver varieties. To that end, we construct an explicit embedding of any type A quiver variety into a type A quiver variety with all framings at the rightmost vertex of the quiver. Then we consider quasimap counts, showing that the map induced by this embedding on equivariant K-theory preserves vertex functions.

Related

• Vertex functions of type D Nakajima quiver varieties
• Capped vertex with descendants for zero dimensional A_∞ quiver varieties
• Quasimaps to zero-dimensional A_∞-quiver varieties
• Rationality of the K-theoretical capped vertex function for Nakajima quiver varieties
• Quasimaps to quivers with potentials