Min-max theory and the energy of links
Geometric Topology
2015-04-29 v2 Analysis of PDEs
Differential Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.1205.0825,
title = {Min-max theory and the energy of links},
author = {Ian Agol and Fernando C. Marques and André Neves},
journal= {arXiv preprint arXiv:1205.0825},
year = {2015}
}
Comments
19 pages. Revised version. To appear in J. Amer. Math. Soc