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Elliptic stable envelopes of affine type $A$ quiver varieties

Algebraic Geometry 2021-08-05 v2 Mathematical Physics math.MP Representation Theory

Abstract

We generalize Smirnov's formula for the elliptic stable envelopes of the Hilbert scheme of points in C2\mathbb{C}^2 to the case of affine type AA Nakajima quiver varieties constructed with positive stability condition. We allow for arbitrary choices of polarization and a fairly general choice of chamber. This paper is a companion to the Maple code developed by the author, which implements the formulas described in this paper and is available on the author's website.

Keywords

Cite

@article{arxiv.2107.09569,
  title  = {Elliptic stable envelopes of affine type $A$ quiver varieties},
  author = {Hunter Dinkins},
  journal= {arXiv preprint arXiv:2107.09569},
  year   = {2021}
}