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Rational tangles and the modular group.

Tue, 08/18/2009 - 11:53 — SomNambul
Authors: Francesca Aicardi
Subjects: Geometric Topology
link: http://arxiv.org/abs/0908.2195
Abstract

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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