Manchester Geometry Seminar 2011/2012

EXTRA MEETING: Monday 12 December 2011. The Frank Adams Room (Room 1.212), the Alan Turing Building. 4pm

Positive Kernels and Quantization

Anatol Odzijewicz (University of Białystok)

We investigate a method of quantization based on the concept of positive definite kernel on a principal $G$-bundle with compact structural group G. For $G=U(1)$ our approach leads to Kostant-Souriau geometric quantization as well as to coherent state method of quantization. So, the theory proposed here can be treated as a generalization of both mentioned quantizations to the case of general compact group.