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- W2914104930 abstract "In this article we prove that there exists an explicit bijection between nice $d$-pre-Calabi-Yau algebras and $d$-double Poisson differential graded algebras, where $d in mathbb{Z}$, 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 $P_{infty}$-algebras, as introduced by T. Schedler." @default.
- W2914104930 created "2019-02-21" @default.
- W2914104930 creator A5071030230 @default.
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- W2914104930 date "2019-02-06" @default.
- W2914104930 modified "2023-09-26" @default.
- W2914104930 title "Cyclic $A_{infty}$-algebras and double Poisson algebras" @default.
- W2914104930 cites W1518231387 @default.
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