When is region crossing change an unknotting operation?

Details When is region crossing change an unknotting operation? When is region crossing change an unknotting operation?

2012-01-09

arxiv.org/abs/1201.1735v1

Mathematics

Geometric Topology

10 pages, 7 figures

Scientific paper

In this paper, we prove that region crossing change on a link diagram is an
unknotting operation if and only if the link is proper. A description of the
behavior of region crossing change on link diagrams is given. Furthermore we
also discuss the relation between region crossing change and the Arf invariant
of proper links.

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