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

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

2006-08-03

arxiv.org/abs/math/0608112v1

Mathematics

K-Theory and Homology

11 pages, no figures

Scientific paper

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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