Geometry of minimal energy Yang-Mills connections
Differential Geometry
2008-08-17 v3
Abstract
We study the converse to the statement that instantons are minimizers of the Yang--Mills energy in four dimensions. We show that given an energy minimizing connection, A, the curvature of A takes values in a subbundle of the adjoint bundle which decomposes as a sum of instantons.
Cite
@article{arxiv.0808.0667,
title = {Geometry of minimal energy Yang-Mills connections},
author = {Mark A. Stern},
journal= {arXiv preprint arXiv:0808.0667},
year = {2008}
}
Comments
16 pages; removed sections on duality for tori in dimensions greater than 4 and on G_2; references added