Diagrammatic unknotting of knots and links in the projective space

Details Diagrammatic unknotting of knots and links in the projective space Diagrammatic unknotting of knots and links in the projective space

2002-07-31

arxiv.org/abs/math/0207302v2

Mathematics

Geometric Topology

15 pages, 9 figures, error corrected on page 9

Scientific paper

In the classical knot theory there is a well-known notion of descending diagram. From an arbitrary diagram one can easily obtain, by some crossing changes, a descending diagram which is a diagram of the unknot or unlink. In this paper the notion of descending diagram for knots and links in the real space is extended to the case of nonoriented knots and links in the projective space. It is also shown that this notion cannot be extended to oriented links.

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