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arxiv: 0907.4033 · v1 · submitted 2009-07-23 · 🧮 math.KT

Dualit\'e de Van den Bergh et Structure de Batalin-Vilkovisky sur les alg\`ebres de Calabi-Yau

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keywords algebrasberghcalabi-yaudualityabstractapplybatalin-batalin-vilkovisky
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The abstract notion of Tamarkin-Tsygan calculus with duality gives Batalin- Vilkovisky structures in a general setting. We apply this technique to the case of Van den Bergh duality for algebras to prove that Calabi-Yau algebras are BV-algebras.

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