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arxiv: 1205.0825 · v2 · pith:SZYB5BH4new · submitted 2012-05-03 · 🧮 math.GT · math.AP· math.DG

Min-max theory and the energy of links

classification 🧮 math.GT math.APmath.DG
keywords energylinksmin-maxtheoryclassconjectureconjecturedeuclidean
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Freedman, He, and Wang, conjectured in 1994 that the Mobius energy should be minimized, among the class of all nontrivial links in Euclidean space, by the stereographic projection of the standard Hopf link. We prove this conjecture using the min-max theory of minimal surfaces.

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