On the A_∞-Formality conjecture

1998/09/21 by Boris Shoikhet, Shoikhet, Boris · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math.QA

paper · pdf · doi:10.48550/arxiv.math/9809117

5 pages, LaTeX2e, 2 PostScript figures

arxiv created 1998/09/21 · arxiv updated 2009/11/30

Abstract

It is proved that the associative differential graded algebra of (polynomial) polyvector fields on a vector space (may be infinite- dimensional) is quasi-isomorphic to the corresponding cohomological Hochschild complex of (polynomial) functions on this vector space as an associative differential graded algebra. This result is an A_∞-version of the Formality conjecture of Maxim Kontsevich [K].

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• Two-colored noncommutative Gerstenhaber formality and infinity Duflo isomorphism

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