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Poincaré–Birkhoff–Witt deformations of Calabi–Yau algebras

Poincaré–Birkhoff–Witt deformations of Calabi–Yau algebras

Recently, Bocklandt proved a conjecture by Van den Bergh in its graded version, stating that a graded quiver algebra A (with relations) which is Calabi–Yau of dimension 3 is defined from a homogeneous potential W. In this paper, we prove that if we add to W any potential of smaller …