On quasi-isomorphic DGBV algebras (Q1407666)

The authors study the question of how to identify Frobenius manifold structures that are constructed from different differential Gerstenhaber-Batalin-Vilkovisky (DGBV) algebras. To this aim they introduce and investigate a notion of quasi-isomorphism of DGBV algebras. In particular, they show that when the constructions of formal Frobenius manifolds are applicable, quasi-isomorphic DGBV algebras yield identifiable Frobenius manifold structures.