Hilbert schemes of points of OP1(-n) as quiver varieties
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Date
2015-04
Journal Title
Journal ISSN
Volume Title
Publisher
arXiv:1504.02987 [math.AG]
Abstract
Relying on a representation of framed torsion-free sheaves on Hirzebruch surfaces in terms of monads, we construct ADHM data for the Hilbert scheme of points of the total space of the line bundle $\mathcal O(-n)$ on $\mathbb P^1$. This ADHM description is then used to realize these Hilbert schemes as quiver varieties.
Description
Keywords
Hilbert schemes of points, Quiver varieties, Quiver representations, ADHM adata, Monads