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math.KT2022★ 1 cited
Generalized cohomological field theories in the higher order formalism
Vladimir Dotsenko, Sergey Shadrin, Pedro Tamaroff
In the classical Batalin--Vilkovisky formalism, the BV operator is a differential operator of order two with respect to the commutative product. In the differential graded sett…
math.KT2012★ 22 cited
De Rham cohomology and homotopy Frobenius manifolds
Vladimir Dotsenko, Sergey Shadrin, Bruno Vallette
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 multicompl…