Geometry of minimal energy Yang-Mills connections

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

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Differential Geometry, 53C07

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http://salesiana.dossiersoluciones.com/handle/123456789/167077

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0808.0667
 http://arxiv.org/abs/0808.0667

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arXiv