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. - In: KYOTO JOURNAL OF MATHEMATICS. - ISSN 2156-2261. - 54:1(2014), pp. 103-156. [10.1215/21562261-2400292]
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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