Abelian connection in Fedosov deformation quantization. (English) Zbl 1143.81317

Summary: General properties of an abelian connection in Fedosov deformation quantization are investigated. The definition and the criterion of being a finite formal series for an abelian connection are presented. Examples of finite and infinite Abelian connections are given.


81T70 Quantization in field theory; cohomological methods
53D55 Deformation quantization, star products
Full Text: arXiv