Bruzzo, UgoBartocci, ClaudioLanza, ValerianoRava, Claudio L.S.2015-08-102015-08-102015-04https://openscience.sissa.it/handle/1963/34487Relying 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.enHilbert schemes of pointsQuiver varietiesQuiver representationsADHM adataMonadsHilbert schemes of points of OP1(-n) as quiver varietiesPreprintMAT/05