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 and Song and of Kontsevich and Soibelman are related. We check the conjecture in many examples.
Joyce-Song wall-crossing as an asymptotic expansion
STOPPA, JACOPO
2014-01-01
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 and Song and of Kontsevich and Soibelman are related. We check the conjecture in many examples.File in questo prodotto:
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