On Markov's Theorem

Details On Markov's Theorem On Markov's Theorem

2002-02-18

arxiv.org/abs/math/0202186v1

Mathematics

Geometric Topology

16 pages, 10 figures

Scientific paper

We give a new proof of Markov's classical theorem relating any two closed
braid representations of the same knot or link. The proof is based upon ideas
in a forthcoming paper by the authors, "Stabilization in the braid groups". The
new proof of the classical Markov theorem is used by Nancy Wrinkle in her
forthcoming manuscript "The Markov Theorem for transverse knots".

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