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Log Calabi–Yau surfaces and Jeffrey–Kirwan residues
Mathematical Proceedings of the Cambridge Philosophical Society ( IF 0.8 ) Pub Date : 2024-03-04 , DOI: 10.1017/s0305004124000033
RICCARDO ONTANI , JACOPO STOPPA

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.

更新日期:2024-03-04
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