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Morita equivalence and characteristic classes of star products

2009/09/23 by Henrique Bursztyn, Bursztyn, H., Vasiliy Dolgushev +3 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.0909.4259

openalex publication_date 2009/09/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper deals with two aspects of the theory of characteristic classes of star products: first, on an arbitrary Poisson manifold, we describe Morita equivalent star products in terms of their Kontsevich classes; second, on symplectic manifolds, we describe the relationship between Kontsevich's and Fedosov's characteristic classes of star products.

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