We discuss some recent progress on the regularity theory of the elliptic Yang - Mills equation. We start with some basic properties of the elliptic Yang - Mills equation, such as Coulomb gauges, monotonicity, and curvature estimates. Next we discuss singularity of stationary Yang - Mills connections and compactness theorems on Yang - Mills connections with bounded L2 norm of curvature. We also discuss in some detail self-dual solutions of the Yang - Mills equation and describe a compactification of their moduli space.
|Original language||English (US)|
|Number of pages||6|
|Journal||Proceedings of the National Academy of Sciences of the United States of America|
|State||Published - Nov 26 2002|
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