Log Calabi-Yau surfaces and Jeffrey-Kirwan residues
Algebraic Geometry
2023-12-07 v3 High Energy Physics - Theory
Abstract
We prove an equality, predicted in the physical literature, between the Jeffrey-Kirwan residues of certain explicit meromorphic forms attached to a quiver without loops or oriented cycles and its Donaldson-Thomas type invariants. In the special case of complete bipartite quivers we also show independently, using scattering diagrams and theta functions, that the same Jeffrey-Kirwan residues are determined by the the Gross-Hacking-Keel mirror family to a log Calabi-Yau surface.
Keywords
Cite
@article{arxiv.2109.13048,
title = {Log Calabi-Yau surfaces and Jeffrey-Kirwan residues},
author = {Riccardo Ontani and Jacopo Stoppa},
journal= {arXiv preprint arXiv:2109.13048},
year = {2023}
}
Comments
43 pages, accepted version