English

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

K-Theory and Homology 2007-05-23 v1 Quantum Algebra

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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Cite

@article{arxiv.math/0608112,
  title  = {Formality theorem for Hochschild (co)chains of the algebra of endomorphisms of a vector bundle},
  author = {Vasiliy Dolgushev},
  journal= {arXiv preprint arXiv:math/0608112},
  year   = {2007}
}

Comments

11 pages, no figures