Joyce-Song wall-crossing as an asymptotic expansion

Published 9 Dec 2011 in math.AG and math.DG | (1112.2174v2)

Abstract: We conjecture that the Joyce-Song wall-crossing formula for Donaldson-Thomas invariants arises naturally from an asymptotic expansion in the field theoretic work of Gaiotto, Moore and Neitzke. This would also give a new perspective on how the formulae of Joyce-Song and Kontsevich-Soibelman are related. We check the conjecture in many examples.

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Jacopo Stoppa

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