Singularity formation in the Yang-Mills Flow

Ben Weinkove

doi:10.1007/s00526-003-0217-x

Singularity formation in the Yang-Mills Flow

Ben Weinkove^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

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 Rⁿ for 5 ≤ n ≤ 9.

Original language	English (US)
Pages (from-to)	211-220
Number of pages	10
Journal	Calculus of Variations and Partial Differential Equations
Volume	19
Issue number	2
DOIs	https://doi.org/10.1007/s00526-003-0217-x
State	Published - Feb 2004

ASJC Scopus subject areas

Analysis
Applied Mathematics

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title = "Singularity formation in the Yang-Mills Flow",

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 Rn for 5 ≤ n ≤ 9.",

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AB - 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 Rn for 5 ≤ n ≤ 9.

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JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

IS - 2

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Singularity formation in the Yang-Mills Flow

Abstract

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