Variation of Hodge structures, Frobenius manifolds and Gauge theory

2013/03/12 by Si Li, Li, Si
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #hep-th #math.AG #math.QA

paper · pdf · doi:10.48550/arxiv.1303.2782

19 pages

arxiv created 2013/03/12 · openalex publication_date 2013/03/12 · arxiv updated 2013/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We explain the homological relation between the Frobenius structure on the deformation space of Calabi-Yau manifold and the gauge theory of Kodaira-Spencer gravity. We show that the genus zero generating function of descendant invariants on Calabi-Yau manifolds from Barannikov's semi-infinite variation of Hodge structures is equivalent to the Kodaira-Spencer gauge theory at tree level.

Related

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