Uniqueness of reduced alternating rational 3-tangles

Bo-hyun Kwon

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arXiv · 1401.7259

Uniqueness of reduced alternating rational 3-tangles

Bo-hyun Kwon

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Abstract

In this paper, We introduce an invariant of rational n-tangles which is obtained from the Kauffman bracket. It forms a vector with Laurent polynomial entries. We prove that the invariant classifies the rational 2-tangles and the reduced alternating rational 3-tangles. We conjecture that it classifies the rational 3-tangles as well.

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BibTeX RIS

Bo-hyun Kwon. 2015-04-15. Uniqueness of reduced alternating rational 3-tangles. https://arxiv.org/abs/1401.7259

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