Abelian quiver invariants and marginal wall-crossing
  We prove the equivalence of (a slightly modified version of) the wall-crossing formula of Manschot, Pioline and Sen and the wall-crossing formula of Kontsevich and Soibelman. The former involves abelian analogues of the motivic Donaldson-Thomas type invariants of quivers with stability introduced by Kontsevich and Soibelman, for which we derive positivity and geometricity properties. 
Sergey Mozgovoy, Markus Reineke
math.AG math.CO math.RT