Variation of Hodge structures, Frobenius manifolds and Gauge theory
classification
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hep-thmath.AG
keywords
gaugetheorycalabi-yaufrobeniushodgekodaira-spencermanifoldsstructures
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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.
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