2000/12/31 by Alberto S. Cattaneo, Giovanni Felder, Lorenzo Tomassini
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #hep-th #math-ph #math.DG #math.MP #math.QA
paper · pdf · doi:10.1215/s0012-7094-02-11524-5
published as Duke Math. J. Volume 115, Number 2 (2002), 329-352 · 16 pages. Reference and dedication added. Sign corrected, remark on Poisson vector fields added
arxiv created 2001/03/06 · openalex publication_date 2002/11/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We give an explicit construction of a deformation quantization of the algebra of functions on a Poisson manifold, based on M. Kontsevich's local formula. The deformed algebra of functions is realized as the algebra of horizontal sections of a vector bundle with flat connection.