Infinitesimal deformation quantization of complex analytic spaces
arXiv:math/0601772 · doi:10.1007/s11005-006-0139-6
Abstract
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.