We construct a generalization of the variations of Hodge structures on Calabi-Yau manifolds. It gives a Mirror partner for the theory of genus=0 Gromov-Witten invariants.
@article{hal-00486066,
author = {Barannikov, Sergey and Kontsevich, Maxim},
title = {Frobenius Manifolds and Formality of Lie Algebras of Polyvector Fields},
journal = {HAL},
volume = {1997},
number = {0},
year = {1997},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00486066}
}
Barannikov, Sergey; Kontsevich, Maxim. Frobenius Manifolds and Formality of Lie Algebras of Polyvector Fields. HAL, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/hal-00486066/