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Consider a Kleinian singularity Formula: see text, where Formula: see text is a finite subgroup of SL 2 (Formula: see text). 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.
Søren Gammelgaard (Wed,) studied this question.
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