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Formality theorem for Hochschild (co)chains of the algebra of endomorphisms of a vector bundle

Vasiliy Dolgushev
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Abstract

We prove the formality theorem for the differential graded Lie algebra module of Hochschild chains for the algebra of endomorphisms of a smooth vector bundle. We discuss a possible application of this result to a version of the algebraic index theorem for Poisson manifolds.

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Vasiliy Dolgushev. 2006-08-03. Formality theorem for Hochschild (co)chains of the algebra of endomorphisms of a vector bundle. https://arxiv.org/abs/math/0608112

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