Dualité de Van den Bergh et structure de Batalin–Vilkoviskiĭ sur les algèbres de Calabi–Yau

Abstract

The abstract notion of Tamarkin–Tsygan calculus with duality gives Batalin–Vilkoviskiǐ 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.