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Accessible Unlicensed Requires Authentication Published by De Gruyter June 16, 2009

An algebraic index theorem for Poisson manifolds

V. A. Dolgushev and V. N. Rubtsov
From the journal

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.

Received: 2007-12-01
Revised: 2008-03-23
Published Online: 2009-06-16
Published in Print: 2009-August

© Walter de Gruyter Berlin · New York 2009