A polynomial upper bound on Reidemeister moves
Annals of mathematics, Tome 182 (2015) no. 2, pp. 491-564.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We prove that any diagram of the unknot with $c$ crossings may be reduced to the trivial diagram using at most $(236 \,c)^{11}$ Reidemeister moves.
DOI : 10.4007/annals.2015.182.2.3

Marc Lackenby 1

1 Mathematical Institute, University of Oxford, Oxford, UK
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Marc Lackenby. A polynomial upper bound on Reidemeister moves. Annals of mathematics, Tome 182 (2015) no. 2, pp. 491-564. doi : 10.4007/annals.2015.182.2.3. http://geodesic.mathdoc.fr/articles/10.4007/annals.2015.182.2.3/

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