A formality theorem for Hochschild chains

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• 作者：Vasiliy Dolgushev
• 关键词：Formality theorems ; Deformation quantization
• 刊名：Advances in Mathematics
• 出版年：2006
• 出版时间：15 February 2006
• 年：2006
• 卷：200
• 期：1
• 页码：51-101
• 全文大小：439 K

文摘

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 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.