Three Constructions of Frobenius Manifolds: a Comparative Study

@inproceedings{ManinThreeCO,
  title={Three Constructions of Frobenius Manifolds: a Comparative Study},
  author={Yu I Manin}
}
  • Yu I Manin
The paper studies three classes of Frobenius manifolds: Quantum Cohomol-ogy (topological sigma–models), unfolding spaces of singularities (K. Saito's theory , Landau–Ginzburg models), and the recent Barannikov–Kontsevich construction starting with the Dolbeault complex of a Calabi–Yau manifold and conjec-turally producing the B–side of the Mirror Conjecture in arbitrary dimension. Each known construction provides the relevant Frobenius manifold with an extra structure which can be thought of as… CONTINUE READING
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