Mathematical Research Letters

Volume 14, Issue 5, September 2007 pp. 757-767.

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

Authors: Vasiliy Dolgushev
Author institution: Northwestern University

Summary: 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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