A RECURSIVE FORMULA FOR THE JONES POLYNOMIAL OF 2-BRIDGE LINKS AND APPLICATIONS

Title & Authors
A RECURSIVE FORMULA FOR THE JONES POLYNOMIAL OF 2-BRIDGE LINKS AND APPLICATIONS
Lee, Eun-Ju; Lee, Sang-Youl; Seo, Myoung-Soo;

Abstract
In this paper, we give a recursive formula for the Jones polynomial of a 2-bridge knot or link with Conway normal form C($\small{-2n_1}$, $\small{2n_2}$, $\small{-2n_3}$, ..., $\small{(-1)_r2n_r}$) in terms of $\small{n_1}$, $\small{n_2}$, ..., $\small{n_r}$. As applications, we also give a recursive formula for the Jones polynomial of a 3-periodic link $\small{L^{(3)}}$ with rational quotient L
Keywords
Jones polynomial;2-bridge knot;span;periodic link with rational quotient;
Language
English
Cited by
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