Open Access
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.

Citation

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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

Information

Published: July, 2014
First available in Project Euclid: 24 July 2014

zbMATH: 1297.57021
MathSciNet: MR3238313
Digital Object Identifier: 10.2969/jmsj/06630693

Subjects:
Primary: 57M25
Secondary: 57M27

Keywords: crossing number , knot diagram , local move , region crossing change , unknotting operation

Rights: Copyright © 2014 Mathematical Society of Japan

Vol.66 • No. 3 • July, 2014
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