Singularity formation of the Yang-Mills flow

Casey Lynn Kelleher; Jeffrey Streets

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arXiv · 1602.03125

Singularity formation of the Yang-Mills flow

Casey Lynn Kelleher·Jeffrey Streets

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Abstract

We study singularity structure of Yang-Mills flow in dimensions $n \geq 4$. 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.

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Casey Lynn Kelleher, Jeffrey Streets. 2016-02-09. Singularity formation of the Yang-Mills flow. https://arxiv.org/abs/1602.03125

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