Abstract
We study singularity structure of Yang–Mills flow in dimensions n≥4. First we obtain a description of the singular set in terms of concentration for a localized entropy quantity, which leads to an estimate of its Hausdorff dimension. We develop a theory of tangent measures for the flow, which leads to a stratification of the singular set. By a refined blowup analysis we obtain Yang–Mills connections or solitons as blowup limits at any point in the singular set.
Original language | English (US) |
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Pages (from-to) | 1655-1686 |
Number of pages | 32 |
Journal | Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire |
Volume | 35 |
Issue number | 6 |
DOIs | |
State | Published - Sep 2018 |
All Science Journal Classification (ASJC) codes
- Analysis
- Mathematical Physics
- Applied Mathematics
Keywords
- Yang–Mills
- geometric flows
- singularity analysis