Titile: From BV_\infty algebra to Frobenius manifold

Abstract: Commutative BV_\infty algebra is a natural generalization of DGBV algebra. We describe the construction of Frobenius manifold out of a cyclic commutative BV_\infty algebra under the assumption of a Hodge-to-de Rham degeneration property and the existence of a compatible homotopy retract. We then discuss its application in Landau-Ginzburg model, Jacobi manifolds and Hermitian manifolds.