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A polynomial upper bound on Reidemeister moves

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 نشر من قبل Marc Lackenby
 تاريخ النشر 2013
  مجال البحث
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 تأليف Marc Lackenby




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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. Moreover, every diagram in this sequence has at most (7 c)^2 crossings. We also prove a similar theorem for split links, which provides a polynomial upper bound on the number of Reidemeister moves required to transform a diagram of the link into a disconnected diagram.

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