Cohomology of quiver moduli, functional equations, and integrality of Donaldson-Thomas type invariants

Understand

A system of functional equations relating the Euler characteristics of moduli spaces of stable representations of quivers and the Euler characteristics of (Hilbert scheme-type) framed versions of quiver moduli is derived.

• This is applied to wall-crossing formulas for the Donaldson-Thomas type invariants of M.
• Kontsevich and Y.
• Soibelman, in particular confirming their integrality.