A Formality Theorem for Hochschild Chains

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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[[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.
41 pages, 5 figures. To appear in Adv. Math

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Quantum Algebra, High Energy Physics - Theory, Differential Geometry, K-Theory and Homology, 16E45; 53C15; 18G55

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http://salesiana.dossiersoluciones.com/handle/123456789/70179

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0402248
 http://arxiv.org/abs/math/0402248

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arXiv