The derived non-commutative Poisson bracket on Koszul Calabi-Yau algebras

Xiaojun Chen, Alimjon Eshmatov, Farkhod Eshmatov +1

Let $A$ be a Koszul (or more generally, $N$-Koszul) Calabi-Yau algebra. Inspired by the works of Kontsevich, Ginzburg and Van den Bergh, we show that there is a derived non-commuta…