Geometry of minimal energy Yang-Mills connections

Details Geometry of minimal energy Yang-Mills connections Geometry of minimal energy Yang-Mills connections

2008-08-05

arxiv.org/abs/0808.0667v3

Mathematics

Differential Geometry

16 pages; removed sections on duality for tori in dimensions greater than 4 and on G_2; references added

Scientific paper

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.

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