Cobordisms of Free Knots and Gauss Words

Details Cobordisms of Free Knots and Gauss Words Cobordisms of Free Knots and Gauss Words

2009-04-18

arxiv.org/abs/0904.2862v1

Mathematics

Geometric Topology

10 pages, 19 figures

Scientific paper

We investigate cobordisms of free knots. Free knots and links are also called
homotopy classes of Gauss words and phrases. We define a new strong invariant
of free knots which allows to detect free knots not cobordant to the trivial
one.

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