Joyce-Song wall-crossing as an asymptotic expansion

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.

50 pages. Revised version, accepted for publication

References in corpus (2)

• Wall-Crossing from Boltzmann Black Hole Halos
• Four ways across the wall

Cited by in corpus (3)

• Wall-crossing made smooth
• Black holes and higher depth mock modular forms
• A construction of Frobenius manifolds from stability conditions