Infinitesimal deformation quantization of complex analytic spaces
Quantum Algebra
2015-06-26 v1
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.
Cite
@article{arxiv.math/0601772,
title = {Infinitesimal deformation quantization of complex analytic spaces},
author = {Victor Palamodov},
journal= {arXiv preprint arXiv:math/0601772},
year = {2015}
}