Batalin-Vilkovisky algebras and the noncommutative Poincare duality of Koszul Calabi-Yau algebras

摘要

Let A be a Koszul Calabi-Yau algebra. We show that there exists an isomorphism of Batalin-Vilkovisky algebras between the Hochschild cohomology ring of A and that of its Koszul dual algebra A(1). This confirms (a generalization of) a conjecture of R. Rouquier. (c) 2015 Elsevier B.V. All rights reserved.