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arXiv · 0808.2698

A construction of Frobenius manifolds with logarithmic poles and applications

Thomas Reichelt
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Abstract

A construction theorem for Frobenius manifolds with logarithmic poles is established. This is a generalization of a theorem of Hertling and Manin. As an application we prove a generalization of the reconstruction theorem of Kontsevich and Manin for projective smooth varieties with convergent Gromov-Witten potential. A second application is a construction of Frobenius manifolds out of a variation of polarized Hodge structures which degenerates along a normal crossing divisor when certain generation conditions are fulfilled.

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Thomas Reichelt. 2008-08-20. A construction of Frobenius manifolds with logarithmic poles and applications. https://doi.org/10.1007/s00220-008-0699-7

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