Min-max theory and the energy of links-Reference-Cited by-同舟云学术

Min-max theory and the energy of links

Published:2015-06-04 Issue:2 Volume:29 Page:561-578
ISSN:0894-0347
Container-title:Journal of the American Mathematical Society
language:en
Short-container-title:J. Amer. Math. Soc.

Author:

Agol Ian,Marques Fernando,Neves André

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/jams/2016-29-02/S0894-0347-2015-00835-9/S0894-0347-2015-00835-9.pdf

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4. On the minimizers of the Möbius cross energy of links;He, Zheng-Xu;Experiment. Math.,2002

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