Calabi-Yau algebras viewed as deformations of Poisson algebras

Details Calabi-Yau algebras viewed as deformations of Poisson algebras Calabi-Yau algebras viewed as deformations of Poisson algebras

2011-07-22

arxiv.org/abs/1107.4472v2

Mathematics

Rings and Algebras

42 pages; minor corrections

Scientific paper

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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