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arXiv · 1303.2782

Variation of Hodge structures, Frobenius manifolds and Gauge theory

Si Li
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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.

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Si Li. 2013-03-12. Variation of Hodge structures, Frobenius manifolds and Gauge theory. https://arxiv.org/abs/1303.2782

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