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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.

Derivations of homotopy algebras

Tom Lada, Melissa Tolley (2013)

Archivum Mathematicum

We recall the definition of strong homotopy derivations of A algebras and introduce the corresponding definition for L algebras. We define strong homotopy inner derivations for both algebras and exhibit explicit examples of both.

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