Oberseminar WiSe 12/13 Zusammenfassung des Vortrags von Atsushi Takahashi
From Calabi-Yau dg categories to Frobenius manifolds via primitive forms: a work in progress
It is one of most important problems to construct functorially a Frobenius
manifold from a Calabi-Yau dg categories.
This is because the homological mirror symmetry will imply the classical
one, the isomorphism of Frobenius manifolds between the one from
Gromov-Witten theory and the one from the deformation theory.
In this talk, we will give an approach to this problem based on the theory
of primitive forms. Under a formality assumption, we shall show the
existence of a ``good basis" which is the first step in the construction
of primitive forms.