On the classification of a large set of rational 3-tangle diagrams

Bo-hyun Kwon

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arXiv · 1502.05669

On the classification of a large set of rational 3-tangle diagrams

Bo-hyun Kwon

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Abstract

We note that a rational $3$-tangle diagram is obtained from a combination of four generators. There is an algorithm to distinguish two rational $3$-tangle diagrams up to isotopy. However, there is no perfect classification about rational $3$-tangle diagrams such as the classification of rational $2$-tangle diagrams corresponding to rational numbers. In this paper, we classify a large set of rational $3$-tangles which are generated by only three generators.

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Bo-hyun Kwon. 2015-02-19. On the classification of a large set of rational 3-tangle diagrams. https://arxiv.org/abs/1502.05669

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