Joyce-Song wall-crossing as an asymptotic expansion
Algebraic Geometry
2015-11-03 v2 Differential Geometry
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.
Keywords
Cite
@article{arxiv.1112.2174,
title = {Joyce-Song wall-crossing as an asymptotic expansion},
author = {Jacopo Stoppa},
journal= {arXiv preprint arXiv:1112.2174},
year = {2015}
}
Comments
50 pages. Revised version, accepted for publication