Quantization of Poisson families and of twisted Poisson structures
Quantum Algebra
2007-05-23 v1 Symplectic Geometry
Abstract
We describe a deformation quantization of a modification of Poisson geometry by a closed 3-form. Under suitable conditions it gives rise to a stack of algebras. The basic object used for this aim is a kind of families of Poisson structures given by a Maurer-Cartan equation; they are easily quantized using Kontsevich's Formality theorem.
Keywords
Cite
@article{arxiv.math/0205294,
title = {Quantization of Poisson families and of twisted Poisson structures},
author = {Pavol Severa},
journal= {arXiv preprint arXiv:math/0205294},
year = {2007}
}
Comments
7 pages, 3 figures