65 citations · 67 across the 6 of their papers we have counts for
6 papers
Deformations of Poisson algebras
Michael Penkava, Anne Pichereau
We study -graded Poisson structures defined on -graded commutative polynomial algebras. In small dimensional cases, we exhibit classifications of such Poi…
Calabi-Yau algebras viewed as deformations of Poisson algebras
Roland Berger, Anne Pichereau
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…
-interpretation of a classification of deformations of Poisson structures in dimension three
Anne Pichereau
We give an -interpretation of the classification, obtained in [AP2], of the formal deformations of a family of exact Poisson structures in dimension three. We indeed obta…
Formal deformations of Poisson structures in low dimensions
Anne Pichereau
In this paper, we study formal deformations of Poisson structures, especially for three families of Poisson varieties in dimensions two and three. For these families of Poisson str…
Double Poisson Cohomology of Path Algebras of Quivers
Anne Pichereau, Geert Van de Weyer
In this note, we give a description of the graded Lie algebra of double derivations of a path algebra as a graded version of the necklace Lie algebra equipped with the Kontsevich b…
Poisson (co)homology and isolated singularities
Anne Pichereau
To each polynomial $\v\in\F[x,y,z]$ is associated a Poisson structure on $\F^3$, a surface and a Poisson structure on this surface. When $\v$ is weight homogeneous with an isolated…