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

• Autores: Vasiliy Dolgushev
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 14, Nº 5, 2007, págs. 757-767
• Idioma: inglés
• DOI: 10.4310/mrl.2007.v14.n5.a4
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• Resumen

  • 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.