Weak closure of Singular Abelian $L^p$-bundles in $3$ dimensions
Analysis of PDEs
2010-09-29 v2 Differential Geometry
Functional Analysis
Abstract
We prove the closure for the sequential weak -topology of the class of vectorfields on 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
Cite
@article{arxiv.1007.0668,
title = {Weak closure of Singular Abelian $L^p$-bundles in $3$ dimensions},
author = {Mircea Petrache and Tristan Rivière},
journal= {arXiv preprint arXiv:1007.0668},
year = {2010}
}
Comments
29 pages, some typing errors fixed