Quiver varieties and framed sheaves on compactified Kleinian singularities

被引：0
|
作者：
Gammelgaard, Soren [1 ]
机构：
[1] Scuola Int Super Avanzati, Via Bonomea 265, I-34136 Trieste, Italy
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2024年
关键词：
Quiver varieties; framed sheaves; singularities; ALE SPACES; REPRESENTATIONS; INSTANTONS; GEOMETRY;
D O I：
10.1142/S0219498825503402
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Consider a Kleinian singularity C-2/Gamma, where Gamma is a finite subgroup of SL2(C). In this paper, we introduce a natural stack compactifying the singularity by adding a smooth stacky divisor, and we show that sets of framed sheaves on this stack satisfying certain additional criteria are closely related to a class of Nakajima quiver varieties. This partially extends our previous work on punctual Hilbert schemes of Kleinian singularities.
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页数：37
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