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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