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    A formality theorem for Hochschild chains

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    Genre
    Pre-print
    Date
    2006-02-15
    Author
    Dolgushev, V
    Subject
    formality theorems
    deformation quantization
    Permanent link to this record
    http://hdl.handle.net/20.500.12613/4222
    
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    DOI
    10.1016/j.aim.2004.10.017
    Abstract
    We prove Tsygan's formality conjecture for Hochschild chains of the algebra of functions on an arbitrary smooth manifold M using the Fedosov resolutions proposed in math.QA/0307212 and the formality quasi-isomorphism for Hochschild chains of ℝ[[y1,..., yd]] proposed in paper math.QA/0010321 by Shoikhet. This result allows us to describe traces on the quantum algebra of functions on an arbitrary Poisson manifold. © 2004 Elsevier Inc. All rights reserved.
    Citation to related work
    Elsevier BV
    Has part
    Advances in Mathematics
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    ae974a485f413a2113503eed53cd6c53
    http://dx.doi.org/10.34944/dspace/4204
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