Weak closure of Singular Abelian $L^p$-bundles in $3$ dimensions

Details Weak closure of Singular Abelian $L^p$-bundles in $3$ dimensions Weak closure of Singular Abelian $L^p$-bundles in $3$ dimensions

2010-07-05

arxiv.org/abs/1007.0668v2

Mathematics

Analysis of PDEs

29 pages, some typing errors fixed

Scientific paper

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.

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