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Toric reduction and a conjecture of Batyrev and Materov

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arxiv math/0306311 v2 pith:6THWNT7C submitted 2003-06-20 math.AT math.AG

Andras Szenes , Michele Vergne This is my paper · ORCID
classification math.ATmath.AG
keywords conjecturetoricbatyrevformulaintegrationmaterovapplicationextending
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We present a new integration formula for intersection numbers on toric quotients, extending the results of Witten, Jeffrey and Kirwan on localization. Our work was motivated by the Toric Residue Mirror Conjecture of Batyrev and Materov; as an application of our integration formula, we obtain a proof of this conjecture in a generalized setting.

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Cited by 4 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. Quiver BPS Indices from Crystal Profiles

    hep-th 2026-07 conditional novelty 6.5 of 10

    Elliptic genera and lower-dimensional BPS indices equal discrete sums over molecule boundaries in crystals defined by Jeffrey-Kirwan residues, generalizing Nekrasov Young-diagram formulas.

  3. Localisation of $\mathcal{N} = (2,2)$ theories on spindles of both twists

    hep-th 2026-04 unverdicted novelty 6.0 of 10

    Exact partition functions for N=(2,2) theories on spindles are computed via localisation for both twist and anti-twist, yielding a unified formula.

  4. 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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