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arXiv · 2109.13048

Log Calabi-Yau surfaces and Jeffrey-Kirwan residues

Riccardo Ontani·Jacopo Stoppa
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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.

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Riccardo Ontani, Jacopo Stoppa. 2021-09-27. Log Calabi-Yau surfaces and Jeffrey-Kirwan residues. https://arxiv.org/abs/2109.13048

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