MIN-MAX THEORY AND THE ENERGY OF LINKS
Author(s): Agol, Ian; Coda Marques, Fernando; Neves, André
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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. |
Publication Date: | Apr-2016 |
Electronic Publication Date: | 4-Jun-2015 |
Citation: | Agol, Ian, Marques, Fernando C, Neves, Andre. (2016). MIN-MAX THEORY AND THE ENERGY OF LINKS. JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 29 (561 - 578. doi:10.1090/jams/835 |
DOI: | doi:10.1090/jams/835 |
ISSN: | 0894-0347 |
EISSN: | 1088-6834 |
Pages: | 561 - 578 |
Type of Material: | Journal Article |
Journal/Proceeding Title: | JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY |
Version: | Author's manuscript |
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