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.
Cite this article
Vladimir Dotsenko, Sergey Shadrin, Bruno Vallette, De Rham cohomology and homotopy Frobenius manifolds. J. Eur. Math. Soc. 17 (2015), no. 3, pp. 535–547DOI 10.4171/JEMS/510