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Noncommutative differential calculus, homotopy BV algebras and formality conjectures

Dmitri Tamarkin·Boris Tsygan
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Abstract

We define a notion of astrongly homotopy BV algebra and apply it to deformation theory problems. Formality conjectures for Hochschild and cyclic chains are formulated. We prove some partial results supporting these conjectures.

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Dmitri Tamarkin, Boris Tsygan. 2000-02-15. Noncommutative differential calculus, homotopy BV algebras and formality conjectures. https://arxiv.org/abs/math/0002116

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