Clifford links are the only minimizers of the zone modulus among non-split links

Article Article scientifique Article Clifford links are the only minimizers of the zone modulus among non-split links eng 2007 author Moniot Grégoire Thomas 650351 397-407 10.1215/ijm/1258138420 0019-2082 http://www.math.uiuc.edu/~hildebr/ijm/summer07/final/moniot.pdf The zone modulus is a conformally invariant functional over the space of two-component links embedded in R3 or S3. 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 + p 2)2. In this paper, we will show that the only non-split links with modulus equal to (1+ p 2)2 are the Clifford links, that is, the conformal images of the standard geometric Hopf link. Dewey 510 25 Section de mathématiques 11 false Illinois journal of mathematics 51 2 dba1d59c-8a11-4cf5-a39b-ce459bcd43bf Article (Published version) Public moniot.pdf 210039 application/pdf openAccess Faculté des sciences / Section de mathématiques

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Clifford links are the only minimizers of the zone modulus among non-split links	Illinois journal of mathematics			2007	601	497

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Moniot, Grégoire Thomas