Categorical primitive forms and Frobenius manifolds

Abstract: In the 1980’s K. Saito introduced the notion of primitive forms in his study of singularity theory. Saito’s theory has found a renewed interest due to its natural appearance in mirror symmetry as the mirror dual of genus zero Gromov-Witten theory. Categorical primitive forms naturally generalize Saito’s definition to the categorical setup. In particular, it enables the construction of a (formal) Frobenius manifold structure naturally associated to certain Calabi-Yau type categories.

algebraic geometrydifferential geometry

Audience: researchers in the topic

Moduli spaces seminar