An algebraic index theorem for Poisson manifolds
Quantum Algebra
2008-04-05 v4 High Energy Physics - Theory
K-Theory and Homology
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.
Cite
@article{arxiv.0711.0184,
title = {An algebraic index theorem for Poisson manifolds},
author = {V. A. Dolgushev and V. N. Rubtsov},
journal= {arXiv preprint arXiv:0711.0184},
year = {2008}
}
Comments
accepted to Journal fur die reine und angewandte Mathematik