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Frobenius Manifolds and Formality of Lie Algebras of Polyvector Fields

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arxiv alg-geom/9710032 v2 pith:YBA4ECIG submitted 1997-10-28 alg-geom hep-thmath.AG

Sergey Barannikov , Maxim Kontsevich This is my paper · ORCID
classification alg-geomhep-thmath.AG
keywords manifoldsalgebrascalabi-yauconstructfieldsformalityfrobeniusgeneralization
verification ladder T0 review T1 audit T2 compute T3 formal
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We construct a generalization of the variations of Hodge structures on Calabi-Yau manifolds. It gives a Mirror partner for the theory of genus=0 Gromov-Witten invariants

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Cited by 2 Pith papers

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  1. Off-shell double copy theories in BV

    hep-th 2025-06 conditional novelty 6.0 of 10

    A BV-formalism construction gives off-shell double-copy actions for Chern-Simons, BF, and 2D Yang-Mills theories, with Kodaira-Spencer and Kähler gravity as natural examples.

  2. Advancements in Functorial Homological Mirror Symmetry

    hep-th 2025-02 reject novelty 4.0 of 10

    A programmatic review asserting that stability and transversality in Donaldson-Thomas degeneracy formulas correspond to abelian versus nonabelian gauging in Rozansky-Witten theory, without providing a derivation.

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