Rational tangles and the modular group

Details Rational tangles and the modular group Rational tangles and the modular group

2009-08-15

arxiv.org/abs/0908.2195v1

Mathematics

Geometric Topology

12 pages, 14 figures

Scientific paper

There is a natural way to associate with a transformation of an isotopy class
of rational tangles to another, an element of the modular group. The
correspondence between the isotopy classes of rational tangles and rational
numbers follows, as well as the relation with the braid group $B_3$.

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