Quantization of Poisson families and of twisted Poisson structures

Details Quantization of Poisson families and of twisted Poisson structures Quantization of Poisson families and of twisted Poisson structures

2002-05-28

arxiv.org/abs/math/0205294v1

Mathematics

Quantum Algebra

7 pages, 3 figures

Scientific paper

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.

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