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Abelian Quiver Invariants and Marginal Wall-Crossing

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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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Authors and Affiliations

  1. Dublin, Ireland

    Sergey Mozgovoy

  2. Wuppertal, Germany

    Markus Reineke

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  1. Sergey Mozgovoy
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  2. Markus Reineke
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Correspondence to Markus Reineke.

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Mozgovoy, S., Reineke, M. Abelian Quiver Invariants and Marginal Wall-Crossing. Lett Math Phys 104, 495–525 (2014). https://doi.org/10.1007/s11005-013-0671-0

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  • DOI: https://doi.org/10.1007/s11005-013-0671-0

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