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math.DG2023
Operations on the de Rham cohomology of Poisson and Jacobi manifolds
Ai Guan, Fernando Muro
We prove that the (homotopy) hypercommutative algebra structure on the de Rham cohomology of a Poisson or Jacobi manifold defined by several authors is (homotopically) trivial, i.e…
math.CT2023
Hochschild cohomology of the second kind: Koszul duality and Morita invariance
Ai Guan, Julian Holstein, Andrey Lazarev +1
We define Hochschild cohomology of the second kind for differential graded (dg) or curved algebras as a derived functor in the twisted derived category. The Hochschild cohomology o…
math.SP2023
Solving Barcilon's inverse problems by the method of spectral mappings
Aiwei Guan, Chuanfu Yang, Natalia P. Bondarenko
In this paper, we consider Barcilon's inverse problem, which consists of the recovery of the fourth-order differential operator from three spectra. We obtain the relationship of Ba…