Dualit\'e de Van den Bergh et Structure de Batalin-Vilkovisky sur les alg\`ebres de Calabi-Yau

Abstract

The abstract notion of Tamarkin-Tsygan calculus with duality gives Batalin- Vilkovisky structures in a general setting. We apply this technique to the case of Van den Bergh duality for algebras to prove that Calabi-Yau algebras are BV-algebras.