De Rham cohomology and homotopy Frobenius manifolds
Vladimir Dotsenko
Trinity College, Dublin, IrelandSergey Shadrin
University of Amsterdam, NetherlandsBruno Vallette
Université de Nice Sophia Antipolis, Nice, France
Abstract
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. 535–547
DOI 10.4171/JEMS/510