Calabi-Yau algebras viewed as deformations of Poisson algebras

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.

36 pages; some improvements in the text. Version to appear

References in corpus (5)

• Calabi-Yau algebras
• Classification problems for system of forms and linear mappings
• Poisson (co)homology and isolated singularities
• Gerasimov's theorem and N-Koszul algebras
• A 3-Calabi-Yau algebra with G_2 symmetry constructed from the octonions

Cited by in corpus (1)

• Twisted Calabi-Yau property of Ore extensions