Quiver Varieties and Framed Sheaves on Compactified Kleinian Singularities
| Autor: | Gammelgaard, Søren |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | Consider a Kleinian singularity $ \mathbb{C}^2/\Gamma $, where $ \Gamma $ is a finite subgroup of $ SL_2(\mathbb{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. Comment: 29 pages, comments welcome |
| Databáze: | arXiv |
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