Moduli of semistable sheaves as quiver moduli

Abstract

In the 1980s Drézet and Le Potier realized moduli spaces of Gieseker-semistable sheaves on ${\mathbb{P}}^2$ as what are now called quiver moduli spaces. We discuss how this construction can be understood using t-structures and exceptional collections on derived categories, and how it can be extended to a similar result on ${\mathbb{P}}^1\times {\mathbb{P}}^1$.

32 pages, 7 figures

References in corpus (1)

• Moduli of representations of quivers

Cited by in corpus (5)

• Vafa-Witten invariants from exceptional collections
• Homology of twisted quiver bundles with relations
• Lecture Notes on Quiver Representations and Moduli Problems in Algebraic Geometry
• Linear data for framed sheaves via exceptional sequences
• Ulrich Trichotomy on del Pezzo surfaces