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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/594218
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