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 ${\mathbb{P}}^1$.

23 pages. v2: typos corrected, minor changes. v3: Appendix A has been streamlined

References in corpus (1)

• More lectures on Hilbert schemes of points on surfaces