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تسجيل مستخدم جديدEquivalence of rational links and 2-bridge links revisited
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تأليف
Margarita M. Toro
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In this paper we give a simple proof of the equivalence between the rational link associated to the continued fraction $left[ a_{1},a_{2},cdots a_{m}right],$ $a_{i}inmathbb{N}$, and the two bridge link of type $p/q,$ where $p/q$ is the rational given by $left[ a_{1}%,a_{2},cdots a_{m}right] $. The known proof of this equivalence relies on the two fold cover of a link and the classification of the lens spaces. Our proof is elementary and combinatorial and follows the naive approach of finding a set of movements to transform the rational link given by $left[ a_{1},a_{2},cdots a_{m}right] $ into the two bridge link of type $p/q$.
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