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arxiv: math/0207279 · v3 · submitted 2002-07-30 · 🧮 math.AG

Frobenius Modules and Hodge Asymptotics

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keywords hodgestructurefrobeniusmodulesa-modelabstractasymptoticasymptotics
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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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