# Infinitesimal deformation quantization of complex analytic spaces

Research paper by Victor Palamodov

Indexed on: 31 Jan '06Published on: 31 Jan '06Published in: Mathematics - Quantum Algebra

#### 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.