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...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
May 2009
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| In: |
Communications in mathematical physics
Year: 2009, Volume: 287, Issue: 3, Pages: 1145-1187 |
| ISSN: | 1432-0916 |
| DOI: | 10.1007/s00220-008-0699-7 |
| Online Access: | 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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| Author Notes: | Thomas Reichelt |
| Summary: | 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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| Item Description: | Published online: 16 December 2008 Gesehen am 21.03.2018 |
| Physical Description: | Online Resource |
| ISSN: | 1432-0916 |
| DOI: | 10.1007/s00220-008-0699-7 |