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

An algebraic index theorem for Poisson manifolds

  • V. A. Dolgushev and V. N. Rubtsov


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

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