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When is region crossing change an unknotting operation?

Published online by Cambridge University Press:  04 June 2013

ZHIYUN CHENG
ZHIYUN CHENG*
Affiliation:
School of Mathematical Sciences, Beijing Normal UniversityLaboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, China. e-mail: [email protected]
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Abstract

We prove that region crossing change on a link diagram is an unknotting operation if and only if the link is proper. This generalizes the related results in [10] and [2]. Furthermore by studying the relation between region crossing change and the Arf invariant, a new approach to the Arf invariant of proper links is given.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 155 , Issue 2 , September 2013 , pp. 257 - 269
Copyright
Copyright © Cambridge Philosophical Society 2013 

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References

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