A Formality Theorem for Hochschild Chains

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dc.creatorDolgushev, Vasiliy
dc.date2004-02-16
dc.date2004-10-25
dc.date.accessioned2026-07-07T05:05:28Z
dc.date.available2026-07-07T05:05:28Z
dc.descriptionWe 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[[y_1, ..., y_d]] 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.
dc.description41 pages, 5 figures. To appear in Adv. Math
dc.identifierhttps://arxiv.org/abs/math/0402248
dc.identifierhttp://arxiv.org/abs/math/0402248
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70179
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectDifferential Geometry
dc.subjectK-Theory and Homology
dc.subject16E45; 53C15; 18G55
dc.titleA Formality Theorem for Hochschild Chains
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