Elliptic Stable Envelopes of Affine Type A Quiver Varieties

Elliptic Stable Envelopes of Affine Type A Quiver Varieties
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仿射 A 型箭袋品种的椭圆稳定包络

DOI:
10.1093/imrn/rnac198
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发表时间:
2021
影响因子:
1
通讯作者:
Hunter Dinkins
Hunter Dinkins
中科院分区:
数学1区
文献类型:
--
作者:
Hunter Dinkins

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我们将斯米尔诺夫(Smirnov)关于$\mathbb{C}^2$中的说点的希尔伯特概型(Hilbert scheme)的椭圆稳定包络公式推广到具有正稳定性条件的仿射A型中岛箭图簇(Nakajima quiver varieties)的情形。我们允许对极化进行任意选择,并且对腔(chamber)进行相当一般的选择。本文是作者所开发的Maple代码的配套文档,该代码实现了本文所描述的公式。
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.
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