Geodesic
Min-max theory and the energy of links
Agol, Ian1 ; Marques, Fernando2 ; Neves, André3
1 Department of Mathematics, University of California, 970 Evans Hall #3840, Berkeley, California 94720-3840
2 Department of Mathematics, Princeton University, Fine Hall, Princeton, New Jersey 08544
3 Department of Mathematics, Imperial College London, 180 Queen’s Gate, London SW7 2RH, United Kingdom
Journal of the American Mathematical Society, Tome 29 (2016) no. 2, pp. 561-578

Voir la notice de l'article provenant de la source American Mathematical Society

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.
DOI : 10.1090/jams/835

Agol, Ian 1 ; Marques, Fernando 2 ; Neves, André 3

1 Department of Mathematics, University of California, 970 Evans Hall #3840, Berkeley, California 94720-3840
2 Department of Mathematics, Princeton University, Fine Hall, Princeton, New Jersey 08544
3 Department of Mathematics, Imperial College London, 180 Queen’s Gate, London SW7 2RH, United Kingdom 
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Agol, Ian; Marques, Fernando; Neves, André. Min-max theory and the energy of links. Journal of the American Mathematical Society, Tome 29 (2016) no. 2, pp. 561-578. doi: 10.1090/jams/835

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