Quantizing Poisson Manifolds

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This paper extends Kontsevich's ideas on quantizing Poisson manifolds. A new differential is added to the Hodge decomposition of the Hochschild complex, so that it becomes a bicomplex, even more similar to the classical Hodge theory for complex manifolds.
7 pages, LaTeX file, submitted to the proceedings of the 1996 Joint Summer Research Conference on Quantization

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