Mathematical Research Letters

Volume 14 (2007)

Number 5

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

Pages: 757 – 767

DOI: http://dx.doi.org/10.4310/MRL.2007.v14.n5.a4

Author

Vasiliy Dolgushev (Northwestern University)

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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