Sharp estimate of global Coulomb gauge

Yu Wang

Let $A$ be a $W^{1,2}$-connection on a principle $\text{SU}(2)$-bundle $P$ over a compact $4$-manifold $M$ whose curvature $F_A$ satisfies $\Vert F_A{\Vert }_{L^2(M)}\le \Lambda$. Our main result…