Elliptic stable envelopes

IF 3.5 1区数学 Q1 MATHEMATICS

Journal of the American Mathematical Society Pub Date : 2016-04-01 DOI:10.1090/jams/954

Mina Aganagic, A. Okounkov

引用次数: 118

Abstract

We construct stable envelopes in equivariant elliptic cohomology of Nakajima quiver varieties. In particular, this gives an elliptic generalization of the results of Maulik and Okounkov [Astérisque 408 (2019), ix+209]. We apply them to the computation of the monodromy of q q -difference equations arising in the enumerative K-theory of rational curves in Nakajima varieties, including the quantum Knizhnik–Zamolodchikov equations.

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椭圆稳定包络

本文构造了中岛颤群的等变椭圆上同调中的稳定包络。特别是，这给出了Maulik和Okounkov [ast risque 408 (2019)， ix+209]的结果的椭圆概括。我们将它们应用于计算在Nakajima变型的有理曲线的枚举k理论中产生的q q差分方程的单态，包括量子Knizhnik-Zamolodchikov方程。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of the American Mathematical Society 数学-数学

CiteScore

7.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： All articles submitted to this journal are peer-reviewed. The AMS has a single blind peer-review process in which the reviewers know who the authors of the manuscript are, but the authors do not have access to the information on who the peer reviewers are. This journal is devoted to research articles of the highest quality in all areas of pure and applied mathematics.