Elliptic Stable Envelopes of Affine Type A Quiver Varieties

Abstract We generalize Smirnov’s formula for the elliptic stable envelopes of the Hilbert scheme of points in $\mathbb {C}^2$ to the case of affine type $A$ Nakajima quiver varieties constructed with positive stability condition. We allow for arbitrary choices of polarization and a fairly general ch...

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Bibliographic Details
Published in:International mathematics research notices 2023-07, Vol.2023 (15), p.13426-13476
Main Author: Dinkins, Hunter
Format: Article
Language:English
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Summary:Abstract We generalize Smirnov’s formula for the elliptic stable envelopes of the Hilbert scheme of points in $\mathbb {C}^2$ to the case of affine type $A$ 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.
ISSN:1073-7928
1687-0247
DOI:10.1093/imrn/rnac198