Abelian quiver invariants and marginal wall-crossing
Algebraic Geometry
2015-06-12 v1 Combinatorics
Representation Theory
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.
Keywords
Cite
@article{arxiv.1212.0410,
title = {Abelian quiver invariants and marginal wall-crossing},
author = {Sergey Mozgovoy and Markus Reineke},
journal= {arXiv preprint arXiv:1212.0410},
year = {2015}
}
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24 pages