Min-max theory and the energy of links

Ian Agol; Fernando C. Marques; André Neves

doi:10.1090/jams/835

Min-max theory and the energy of links

Ian Agol, Fernando C. Marques, André Neves

Mathematics

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

11 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	561-578
Number of pages	18
Journal	Journal of the American Mathematical Society
Volume	29
Issue number	2
DOIs	https://doi.org/10.1090/jams/835
State	Published - Apr 2016

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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title = "Min-max theory and the energy of links",

abstract = "Freedman, He, and Wang conjectured in 1994 that the M{\"o}bius 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.",

author = "Ian Agol and Marques, {Fernando C.} and Andr{\'e} Neves",

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AU - Marques, Fernando C.

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AB - 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.

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JF - Journal of the American Mathematical Society

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Min-max theory and the energy of links

Abstract

All Science Journal Classification (ASJC) codes

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