A Construction of Frobenius Manifolds with Logarithmic Poles and Applications |
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Authors: | Thomas Reichelt |
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Affiliation: | 1.Institut für Mathematik,Universit?t Mannheim,Mannheim,Germany |
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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 partial 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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