XXV Workshop on Geometric Methods in Physics 2-8.07.2006

Jaromir Tosiek


Abelian connection in Fedosov deformation quantization


General properties of Abelian connection in Fedosov deformation quantization are presented. Criteria of being a finite series for an Abelian connection are explained. Conditions for different symplectic connections to generate the same correction to the Abelian connection are given. The 2-D phase space case is analysed in detail.