%0 Journal Article %T Quantizing Poisson Manifolds %A Alexander A. Voronov %J Mathematics %D 1997 %I arXiv %X 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. %U http://arxiv.org/abs/q-alg/9701017v1