Abstract:

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It is joint work with Anne Pichereau. We define a family of 3-Calabi-Yau

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algebras by potentials. This family depends on an integer n. When n=2, we

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see these algebras as deformations of Poisson algebras. In this case and

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for the most interesting example, we explicitly compute the Hochschild

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homology of the algebras with the help of Poisson homology. The point is

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that the associated Poisson potential has non-isolated singularities.