Min-max theory and the energy of links

Ian Agol, Fernando C. Marques, André Neves

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


Freedman, He, and Wang conjectured in 1994 that the Möbius 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.

Original languageEnglish (US)
Pages (from-to)561-578
Number of pages18
JournalJournal of the American Mathematical Society
Issue number2
StatePublished - Apr 2016

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics


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