Rigidity and Schofield’s partial tilting conjecture for quiver moduli

Key Points

• Teleman quantization computes higher cohomology in moduli spaces of quiver representations, establishing links between geometry and representation theory.
• Schofield’s partial tilting conjecture is proven in several significant cases, demonstrating its implications in quiver representation theory.
• Moduli spaces of quiver representations are shown to be often infinitesimally rigid, shedding light on the structure of these varieties.
• The endomorphism bundle of the universal bundle is central to understanding the properties of these moduli spaces.