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

2006/08/03 by Vasiliy Dolgushev, Dolgushev, Vasiliy
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Quantum Algebra (math.QA) #math.KT #math.QA

paper · pdf · doi:10.48550/arxiv.math/0608112

11 pages, no figures

arxiv created 2006/08/03 · openalex publication_date 2006/08/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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