Min-max theory and the energy of links | Zendy

Ian Agol | Zendy; Fernando C. Marques | Zendy; André Neves | Zendy

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Min-max theory and the energy of links

Author(s) -

Ian Agol,

Fernando C. Marques,

André Neves

Publication year - 2015

Publication title -

journal of the american mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 8.574

H-Index - 111

eISSN - 1088-6834

pISSN - 0894-0347

DOI - 10.1090/jams/835

Subject(s) - stereographic projection , mathematics , conjecture , projection (relational algebra) , class (philosophy) , space (punctuation) , euclidean geometry , euclidean space , pure mathematics , combinatorics , mathematical analysis , algebra over a field , discrete mathematics , geometry , linguistics , philosophy , algorithm , artificial intelligence , computer science

Freedman, He, and Wang, conjectured in 1994 that the Mobius 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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