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arXiv · 1212.0410

Abelian quiver invariants and marginal wall-crossing

Sergey Mozgovoy·Markus Reineke
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Abstract

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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Sergey Mozgovoy, Markus Reineke. 2012-12-03. Abelian quiver invariants and marginal wall-crossing. https://doi.org/10.1007/s11005-013-0671-0

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