arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2004.07862math.RTmath-phmath.AGmath.KTmath.MP
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量子差分方程的研究I:子簇的稳定包络

Pursuing quantum difference equations I: stable envelopes of subvarieties

Yakov Kononov, Andrey Smirnov

摘要:

设$X$是一个辛簇,它具有环面$A$的作用。设$ν\subset A$是有限循环子群.证明了子簇$X^ν\subset X$的K-理论稳定包络可以通过$X$的椭圆稳定包络的各种极限得到.详细地考虑了由复平面上点的Hilbert格式给出的$X$的一个例子。

英文摘要:

Let $X$ be a symplectic variety equipped with an action of a torus $A$. Let $ν\subset A$ be a finite cyclic subgroup. We show that K-theoretic stable envelope of subvarieties $X^ν\subset X$ can be obtained via various limits of the elliptic stable envelopes of $X$. An example of $X$ given by the Hilbert scheme of points in the complex plane is considered in details.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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