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arXiv · 1112.2174

Joyce-Song wall-crossing as an asymptotic expansion

Jacopo Stoppa
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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. 2011-12-09. Joyce-Song wall-crossing as an asymptotic expansion. https://doi.org/10.1215/21562261-2400292

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