Batalin-Vilkovisky algebras and the noncommutative Poincare duality of   Koszul Calabi-Yau algebras
  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 $A^!$. This confirms (a generalization of) a conjecture of R.~Rouquier. 
Xiaojun Chen, Song Yang and Guodong Zhou
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