Communications in Mathematical Physics

, Volume 287, Issue 3, pp 1145–1187

A Construction of Frobenius Manifolds with Logarithmic Poles and Applications

Article

DOI: 10.1007/s00220-008-0699-7

Cite this article as:
Reichelt, T. Commun. Math. Phys. (2009) 287: 1145. doi:10.1007/s00220-008-0699-7

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.

Copyright information

© Springer-Verlag 2008

Authors and Affiliations

  1. 1.Institut für MathematikUniversität MannheimMannheimGermany

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