Clifford links are the only minimizers of the zone modulus among non-split links
Moniot, Grégoire-Thomas
Illinois J. Math., Tome 51 (2007) no. 3, p. 397-407 / Harvested from Project Euclid
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The zone modulus is a conformally invariant functional over the space of two-component links embedded in $\mathbf{R}^3$ or $\mathbf{S}^3$. It is a positive real number and its lower bound is $1.$ Its main property is that the zone modulus of a non-split link is greater than $(1 + \sqrt{2})^2.$ In this paper, we will show that the only non-split links with modulus equal to $(1 + \sqrt{2})^2$ are the Clifford links, that is, the conformal images of the standard geometric Hopf link.
Publié le : 2007-04-15
Classification:  49Q10,  57M25,  58E10 
@article{1258138420,
     author = {Moniot, Gr\'egoire-Thomas},
     title = {Clifford links are the only minimizers of the zone modulus among non-split links},
     journal = {Illinois J. Math.},
     volume = {51},
     number = {3},
     year = {2007},
     pages = { 397-407},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138420}
}

Moniot, Grégoire-Thomas. Clifford links are the only minimizers of the zone modulus among non-split links. Illinois J. Math., Tome 51 (2007) no. 3, pp.  397-407. http://gdmltest.u-ga.fr/item/1258138420/