@article{80fadc5d88fd416a85e1ea55feed302c,
title = "Singularity formation of the Yang–Mills Flow",
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.",
keywords = "Yang–Mills, geometric flows, singularity analysis",
author = "Casey Kelleher and Jeffrey Streets",
note = "Funding Information: The first author gratefully thanks Osaka University mathematics department, in particular Toshiki Mabuchi and Ryushi Goto where much of the preliminary work was performed, for their warm hospitality. The first author also sincerely thanks Gang Tian and all of Princeton University, where much of the intermediate and final work was conducted, for providing such a friendly and productive atmosphere. The first author was supported by an NSF Graduate Research Fellowship DGE-1321846. The second author was supported by the NSF via DMS-1341836, DMS-1454854 and by the Alfred P. Sloan Foundation through a Sloan Research Fellowship. Publisher Copyright: {\textcopyright} 2018 Elsevier Masson SAS",
year = "2018",
month = sep,
doi = "10.1016/j.anihpc.2018.01.006",
language = "English (US)",
volume = "35",
pages = "1655--1686",
journal = "Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis",
issn = "0294-1449",
publisher = "Elsevier Masson SAS",
number = "6",
}