Gluing instantons à la Brezis-Coron in dimension four and the dipole construction

Luca Martinazzi, Tristan Rivière

Given a connection $A$ on a $SU(2)$-bundle $P$ over ${\mathbb{R}}^4$ with finite Yang-Mills energy $YM(A)$ and nonzero curvature $F_A(0)$ at the origin, and given $\rho >0$ small enough,…