2015/02/19 by Kwon, Bo-hyun
#FOS: Mathematics #Geometric Topology (math.GT)
paper · doi:10.48550/arxiv.1502.05669
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.