ADHM data for the Hilbert scheme of points of the total space of $\mathcal O_{\mathbb P^1}(-n)$

Abstract

Relying on a monadic description of the moduli space of framed sheaves on Hirzebruch surfaces, we construct ADHM data for the Hilbert scheme of points of the total space of the line bundle $\mathcal O(-n)$ on $\mathbb P^1$.