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arXiv · 1406.0176

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

Xiaojun Chen·Song Yang·Guodong Zhou
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Abstract

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.

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Xiaojun Chen, Song Yang, Guodong Zhou. 2014-06-01. Batalin-Vilkovisky algebras and the noncommutative Poincare duality of Koszul Calabi-Yau algebras. https://arxiv.org/abs/1406.0176

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