|XXVIII Workshop on Geometric Methods in Physics||28.06-04.07.2009|
Seiberg-Witten equations from Fedosov deformation quantization of endomorphism bundle
It is shown how Seiberg-Witten equations can be obtained by means of Fedosov deformation quantization of endomorphism bundle and the corresponding theory of equivalences of star products. In such setting, Seiberg-Witten map can be iteratively computed for arbitrary gauge group up to any given degree with recursive methods of Fedosov construction. Presented approach can be also considered as a generalization of Seiberg-Witten equations to Fedosov type of noncommutativity.