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Frobenius Manifolds and Formality of Lie Algebras of Polyvector Fields
Sergey Barannikov, Maxim Kontsevich
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
Product formulas for modular forms on O(2,n) (after R.Borcherds)
Maxim Kontsevich
This is my talk on the Bourbaki seminar, November 1996. It contains an elementary introduction to Borcherds' product formulas.
Relations between the correlators of the topological sigma-model coupled to gravity
Maxim Kontsevich, Yuri I. Manin
We prove a new recursive relation between the correlators , which together with known relations allows one to express all of them through the ful…
Homological Algebra of Mirror Symmetry
Maxim Kontsevich
This is my talk at ICM, Zurich 1994. It contains a short introduction, two basic examples and a refined version of the Mirror Conjecture formulated in terms of homological algebra.