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arXiv · 0711.0184

An algebraic index theorem for Poisson manifolds

V. A. Dolgushev·V. N. Rubtsov
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Abstract

The formality theorem for Hochschild chains of the algebra of functions on a smooth manifold gives us a version of the trace density map from the zeroth Hochschild homology of a deformation quantization algebra to the zeroth Poisson homology. We propose a version of the algebraic index theorem for a Poisson manifold which is based on this trace density map.

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BibTeXRIS

V. A. Dolgushev, V. N. Rubtsov. 2008-04-04. An algebraic index theorem for Poisson manifolds. https://arxiv.org/abs/0711.0184

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