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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.
Ira Gessel and Da Lun Wang, Depth-first search as a combinatorial correspondence , J. Combin. Theory Ser. A 26
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Ashoke Sen, Equivalence of Three Wall Crossing Formulae , 2011, arXiv:1112.2515
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by same author, From Black Holes to Quivers , 2012, arXiv:1207.2230
2012
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