Infinitesimal deformation quantization of complex analytic spaces

Details Infinitesimal deformation quantization of complex analytic spaces Infinitesimal deformation quantization of complex analytic spaces

2006-01-31

arxiv.org/abs/math/0601772v1

Mathematics

Quantum Algebra

Scientific paper

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.

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