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Singularity formation in the Yang-Mills Flow
Authors:Ben?Weinkove  author-information"  >  author-information__contact u-icon-before"  >  mailto:weinkove@math.columbia.edu"   title="  weinkove@math.columbia.edu"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:(1) Department of Mathematics, Columbia University, NY 10027 New York, USA
Abstract:It is shown that, for the Yang-Mills flow, a sequence of blow-ups of a rapidly forming singularity will converge, modulo the gauge group, to a non-trivial homothetically shrinking soliton. Explicit examples of homothetically shrinking solitons are given in the case of trivial bundles over R n for $5 le n le 9$.Received: 22 November 2002, Accepted: 12 March 2003, Published online: 6 June 2003Mathematics Subject Classification (2000): 53C44
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