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arxiv: 1203.5077 · v2 · pith:Z24PKXBXnew · submitted 2012-03-22 · 🧮 math.KT · math.DG· math.SG

De Rham cohomology and homotopy Frobenius manifolds

classification 🧮 math.KT math.DGmath.SG
keywords cohomologyfrobeniushomotopymanifoldrhamconditiondegenerationendow
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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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