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On the vertex functions of type A quiver varieties

Algebraic Geometry 2023-08-21 v2 High Energy Physics - Theory Mathematical Physics math.MP Quantum Algebra Representation Theory

Abstract

The goal of this paper is to better understand the quasimap vertex functions of type AA Nakajima quiver varieties. To that end, we construct an explicit embedding of any type AA quiver variety into a type AA 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 KK-theory preserves vertex functions.

Keywords

Cite

@article{arxiv.2308.05094,
  title  = {On the vertex functions of type A quiver varieties},
  author = {Hunter Dinkins},
  journal= {arXiv preprint arXiv:2308.05094},
  year   = {2023}
}