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A formality theorem for Hochschild chains

Dolgushev, V
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Pre-print
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2006-02-15
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formality theorems
 deformation quantization
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http://hdl.handle.net/20.500.12613/4222
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0402248v4.pdf
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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.
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Elsevier BV
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Advances in Mathematics
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