# Abelian Quiver Invariants and Marginal Wall-Crossing

@article{Mozgovoy2012AbelianQI,
title={Abelian Quiver Invariants and Marginal Wall-Crossing},
author={Sergey Mozgovoy and Markus Reineke},
journal={Letters in Mathematical Physics},
year={2012},
volume={104},
pages={495-525}
}
• Published 2012
• Mathematics
• Letters in Mathematical Physics
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.
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