Calabi-Yau algebras viewed as deformations of Poisson algebras

Published 22 Jul 2011 in math.RA and math.RT | (1107.4472v3)

Abstract: 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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