Euler characteristic of stable envelopes

Euler characteristic of stable envelopes
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稳定包络线的欧拉特性

DOI:
10.1007/s00029-022-00788-w
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发表时间:
2022
期刊:
Selecta Mathematica
影响因子:
--
通讯作者:
Smirnov, Andrey
Smirnov, Andrey
中科院分区:
--
文献类型:
--
作者:
Dinkins, Hunter;Smirnov, Andrey

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本文证明了K-理论稳定包络的等变欧拉特征线与满旗簇余切丛的指标点之间的关系。我们的公式表明,指标顶点是一个有理函数的幂级数展开。这个结果是这里考虑的各种3d镜像自对称性的结果。一般来说,人们期望类似的结果适用于任何两个由3d镜像对称相关的变种。
In this paper we prove a formula relating the equivariant Euler characteristic ofK-theoretic stable envelopes to an object known as the index vertex for the cotangent bundle of the full flag variety. Our formula demonstrates that the index vertex is the power series expansion of a rational function. This result is a consequence of the 3d mirror self-symmetry of the variety considered here. In general, one expects an analogous result to hold for any two varieties related by 3d mirror symmetry.
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影响因子: --
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