标题： 阿贝尔箭图不变量和边缘墙穿越 显示英文标题

标题： Abelian quiver invariants and marginal wall-crossing

摘要： 我们证明了Manschot、Pioline和Sen的墙穿公式（稍作修改版本）与Kontsevich和Soibelman的墙穿公式的等价性。前者涉及由Kontsevich和Soibelman引入的带稳定性的箭图的动机Donaldson-Thomas型不变量的阿贝尔类比，我们推导出了这些不变量的正性和几何性性质。 显示英文摘要

摘要： 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.