expansion of connection forms

ON THE BLOW-UP OF YANG-MILLS FIELDS IN DIMENSION FOUR In this paper, we study the blow-up of a sequence of Yang-Mills connection with bounded energy on a four manifold. We prove a set of equations relating the geometry of the bubble connection at the infinity with the geometry of the limit connection at the energy concentration point. These equations exclude certain scenarios from happening, for example, there is no sequence of Yang-Mills SU(2) connections on S4 converging to an ASD … Continue reading “ON THE BLOW-UP OF YANG-MILLS FIELDS IN DIMENSION FOUR”