Cyclic A(infinity)-algebras and double Poisson algebras
In this article we prove that there exists an explicit bijection between nice d-preCalabi-Yau algebras and d-double Poisson differential graded algebras, where d is an element of Z, extending a result proved by N. Iyudu and M. Kontsevich. We also show that this correspondence is functorial in a quite satisfactory way, giving rise to a (partial) functor from the category of d-double Poisson dg algebras to the partial category of d-pre-Calabi-Yau algebras. Finally, we further generalize it to include double P-infinity-algebras, introduced by T. Schedler.
15
1
241-278
241-278
European Mathematical Soc