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arxiv: 1107.4472 · v3 · pith:3CSCCMICnew · submitted 2011-07-22 · 🧮 math.RA · math.RT

Calabi-Yau algebras viewed as deformations of Poisson algebras

classification 🧮 math.RA math.RT
keywords algebraspoissoncalabi-yauhomologycomputedefinedeformationsexplicitly
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We define a family of 3-Calabi-Yau algebras by potentials. For some of these algebras, we explicitly compute the Hochschild homology with the help of Poisson homology. The point is that the Poisson potential has non-isolated singularities.

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