Region crossing change is an unknotting operation

Ayaka SHIMIZU

doi:10.2969/jmsj/06630693

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July, 2014 Region crossing change is an unknotting operation

Ayaka SHIMIZU

J. Math. Soc. Japan 66(3): 693-708 (July, 2014). DOI: 10.2969/jmsj/06630693

Abstract

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.

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Ayaka SHIMIZU. "Region crossing change is an unknotting operation." J. Math. Soc. Japan 66 (3) 693 - 708, July, 2014. https://doi.org/10.2969/jmsj/06630693