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Asymptotic Hodge theory and quantum products

Asymptotic Hodge theory and quantum products

Assuming suitable convergence properties for the Gromov-Witten potential of a Calabi-Yau manifold X, one may construct a polarized variation of Hodge structure over the complexified Kahler cone of X. In this paper we show that, in the case of fourfolds, there is a correspondence between quantum potentials and polarized variations …