Arc-presentations of links. Monotonic simplification

Details Arc-presentations of links. Monotonic simplification Arc-presentations of links. Monotonic simplification

2002-08-21

arxiv.org/abs/math/0208153v3

Mathematics

Geometric Topology

latex, 45 pages, 34 figures; a mistake pointed out by W.Menasco and A.Sikora has been corrected

Scientific paper

We prove that any arc-presentation of the unknot admits a monotonic
simplification by elementary moves; this yields a simple algorithm for
recognizing the unknot. We obtain similar results for split links and composite
links.

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