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- Title
An algebraic index theorem for Poisson manifolds.
- Authors
Dolgushev, V. A.; Rubtsov, V. N.
- 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.
- Subjects
INDEX theorems; DIFFERENTIAL operators; MANIFOLDS (Mathematics); DIFFERENTIAL geometry; POISSON manifolds; DIFFERENTIABLE manifolds
- Publication
Journal für die Reine und Angewandte Mathematik, 2009, Vol 2009, Issue 633, p77
- ISSN
0075-4102
- Publication type
Article
- DOI
10.1515/CRELLE.2009.061