Region crossing change is an unknotting operation. (English) Zbl 1297.57021

Shimizu, Ayaka

J. Math. Soc. Japan 66, No. 3, 693-708 (2014).

Summary: A region crossing change is a local transformation on a knot or link diagram. We show that a region crossing change on a knot diagram is an unknotting operation, and we define the region unknotting number for a knot diagram and a knot.

MSC:

57M25	Knots and links in the \(3\)-sphere (MSC2010)
57M27	Invariants of knots and \(3\)-manifolds (MSC2010)

Keywords:

crossing number; knot diagram; local move; region crossing change; unknotting operation

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