title: Elliptic Yang-Mills equation.
abstract: 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 L(2) 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.
authors.affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge 02139, USA. tian@math.mit.edu
authors.forename: Gang
authors.initials: G
authors.lastname: Tian