Region crossing change is an unknotting operation

Abstract

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 numbers for a knot diagram and a knot.

to appear in Journal of the Mathematical Society of Japan, 20 pages, 32 figures

Cited by in corpus (3)

• On region crossing change and incidence matrix
• The half-twisted splice operation on reduced knot projections
• An integral region choice problem on knot projection