Joyce-Song wall-crossing as an asymptotic expansion

Details Joyce-Song wall-crossing as an asymptotic expansion Joyce-Song wall-crossing as an asymptotic expansion

2011-12-09

arxiv.org/abs/1112.2174v1

Mathematics

Algebraic Geometry

46 pages

Scientific paper

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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