YANG-MILLS THEORY WITH THE PONTRYAGIN TERM ON MANIFOLDS WITH A BOUNDARY
Abstract
The 3+1 dimensional Yang-Mills theory with the Pontryagin term included is studied on manifolds with a boundary. Based on the geometry of the universal bundle for Yang-Mills theory, the symplectic structure of this model is exhibited. The topological type of the quantization line bundles is shown to be determined by the torsion elements in the cohomology of the gauge orbit space.
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