Braid presentation of virtual knots and welded knots

Details Braid presentation of virtual knots and welded knots Braid presentation of virtual knots and welded knots

2000-08-14

arxiv.org/abs/math/0008092v1

Mathematics

Geometric Topology

22 pages, 18 figures

Scientific paper

The notion of a virtual knot introduced by L. Kauffman induces the notion of
a virtual braid. It is closely related with a welded braid of R. Fenn, R.
Rimanyi and C. Rourke. Alexander's and Markov's theorems for virtual knots and
braids are proved. Similar results for welded knots and braids are also proved.

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