Inserted: 9 jul 2010
Last Updated: 7 dec 2013
Journal: Geometric and Functional Analysis
We prove the closure for the sequential weak $L^p$-topology of the class of vectorfields on $B^3$ having integer flux through almost every sphere. We show how this problem is connected to the study of the minimization problem for the Yang-Mills functional in dimension higher than critical, in the abelian case.
Keywords: Topological singularities, Yang-Mills functional, weak L p -curvatures, singular bundles, weak compactness, closure theorem