Frobenius Modules and Hodge Asymptotics

Mathematics – Algebraic Geometry

Scientific paper

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Updated bibliography. Final version published in Commun. Math. Phys

Scientific paper

10.1007/s00220-003-0848-y

We exhibit a direct correspondence between the potential defining the H^{1,1}
small quantum module structure on the cohomology of a Calabi-Yau manifold and
the asymptotic data of the A-model variation of Hodge structure. This is done
in the abstract context of polarized variations of Hodge structure and
Frobenius modules.

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