Communications in Mathematical Physics

, Volume 287, Issue 3, pp 1145–1187 | Cite as

A Construction of Frobenius Manifolds with Logarithmic Poles and Applications

  • Thomas ReicheltEmail author


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.


Manifold Vector Bundle Hodge Structure Holomorphic Vector Bundle Nilpotent Orbit 
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Copyright information

© Springer-Verlag 2008

Authors and Affiliations

  1. 1.Institut für MathematikUniversität MannheimMannheimGermany

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