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Oberseminar WiSe 12/13 Zusammenfassung des Vortrags von Alexey Basalaev

Frobenius manifolds in singularity theory: different approaches

The structure of the Frobenius manifold, as it is now called, was first found by Saito in 80th (and called flat structures) on the base space of the singularity unfolding. It was used by physicists to study TCFTs and later axiomatized to the Frobenius manifold by Dubrovin in 90th. It turns out that the correspondence between Saito's and Dubrovin's definitions is still not completely defined. We propose another approach to the problem and discuss interesting examples.