A Formality Theorem for Hochschild Chains
Quantum Algebra
2007-05-23 v4 High Energy Physics - Theory
Differential Geometry
K-Theory and Homology
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[[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.
Cite
@article{arxiv.math/0402248,
title = {A Formality Theorem for Hochschild Chains},
author = {Vasiliy Dolgushev},
journal= {arXiv preprint arXiv:math/0402248},
year = {2007}
}
Comments
41 pages, 5 figures. To appear in Adv. Math