%0 Journal Article %T Infinitesimal deformation quantization of complex analytic spaces %A Victor Palamodov %J Mathematics %D 2006 %I arXiv %R 10.1007/s11005-006-0139-6 %X Global constructions of quantization deformation and obstructions are discussed for an arbitrary complex analytic space in terms of adapted (analytic) Hochschild cohomology. For K3-surfaces an explicit global construction of a Poisson bracket is given. It is shown that the analytic Hochschild (co)homology on a complex space has structure of coherent analytic sheaf in each degree. %U http://arxiv.org/abs/math/0601772v1