De Rham cohomology and homotopy Frobenius manifolds
  We endow the de Rham cohomology of any Poisson or Jacobi manifold with a natural homotopy Frobenius manifold structure. This result relies on a minimal model theorem for multicomplexes and a new kind of a Hodge degeneration condition. 
Vladimir Dotsenko, Sergey Shadrin and Bruno Vallette
math.KT math.DG math.SG