Frobenius Modules and Hodge Asymptotics

Abstract

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.

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

References in corpus (3)

• Quantum periods - I. Semi-infinite variations of Hodge structures
• Generalized periods and mirror symmetry in dimensions n>3
• Semi-infinite Hodge structures and mirror symmetry for projective spaces

Cited by in corpus (3)

• A construction of Frobenius manifolds with logarithmic poles and applications
• Hodge structures for orbifold cohomology
• Mixed Lefschetz Theorems and Hodge-Riemann Bilinear Relations