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De Rham cohomology and homotopy Frobenius manifolds

Vladimir Dotsenko; Sergey Shadrin; Bruno Vallette — 2015

Journal of the European Mathematical Society

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.

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