Gauge theory and calibrated geometry. I (Q1972073)

The author studies a new natural interaction between Yang-Mills connections, which are critical points of a Yang-Mills action associated to a vector bundle, and minimal submanifolds, which have been studied a lot for several years in classical differential geometry and the calculus of variations. All the results of this paper can be generalized to the case of the Yang-Mills-Higgs equation as it is mentioned in the paper. In the last chapter of this paper the author discusses compactification of the moduli space of anti-self-dual instantons and some related problems.