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Log Calabi-Yau surfaces and Jeffrey-Kirwan residues

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arxiv 2109.13048 v3 pith:ITCJ33LA submitted 2021-09-27 math.AG hep-th

Riccardo Ontani , Jacopo Stoppa This is my paper · ORCID
classification math.AGhep-th
keywords jeffrey-kirwanresiduescalabi-yauattachedbipartitecasecertaincomplete
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Crystals and Double Quiver Algebras from Jeffrey-Kirwan Residues

    hep-th 2025-01 conditional novelty 7.0 of 10

    For quivers satisfying a no-overlap condition, flavored BPS indices are computed by crystal melting derived from Jeffrey-Kirwan residues, and new double quiver algebras are constructed whose crystal representations en...

  2. A Vafa-Intriligator formula for semi-positive quotients of linear spaces

    math.AG 2025-05 conditional novelty 5.0 of 10

    The paper proves Vafa-Intriligator formulas for genus zero quasimap invariants of smooth semi-positive GIT quotients V//G by reducing them to toric computations via abelianization.

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