WALL-CROSSING FORMULAS FOR FRAMED OBJECTS
Sergey Mozgovoy · The Quarterly Journal of Mathematics · 2012
We prove wall-crossing formulas for the motivic invariants of the moduli spaces of framed objects in the ind-constructible abelian categories. Developed techniques are applied in the case of the motivic Donaldson–Thomas invariants of quivers with potentials. Another application is a new proof of the formula for the motivic invariants of smooth models of quiver moduli spaces.