A construction of Frobenius manifolds with logarithmic poles and applications
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...
Gespeichert in:
| 1. Verfasser: | |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
May 2009
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| In: |
Communications in mathematical physics
Year: 2009, Jahrgang: 287, Heft: 3, Pages: 1145-1187 |
| ISSN: | 1432-0916 |
| DOI: | 10.1007/s00220-008-0699-7 |
| Online-Zugang: | Verlag, Volltext: http://dx.doi.org/10.1007/s00220-008-0699-7 Verlag, Volltext: https://link.springer.com/article/10.1007/s00220-008-0699-7 
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| Verfasserangaben: | Thomas Reichelt |
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| 520 | |a 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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