Rational Tangles and the Modular Group
نویسنده
چکیده
There is a natural way to define an isomorphism between the group of transformations of isotopy classes of rational tangles and the modular group. This isomorphism allows to give a simple proof of the Conway theorem, stating the one-to-one correspondence between isotopy classes of rational tangles and rational numbers. Two other simple ways to define this isomorphism, one of which suggested by Arnold, are also shown. 2000 Math. Subj. Class. 57M27, 20F36.
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