An algebraic index theorem for Poisson manifolds

作者：Dolgushev V A^*; Rubtsov V N

来源：Journal fur die Reine und Angewandte Mathematik, 2009, 633(633): 77-113.

DOI：10.1515/CRELLE.2009.061

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.

• 出版日期2009-8