The AJ-conjecture and cabled knots over torus knots

Dennis Ruppe; Xingru Zhang

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arXiv · 1403.1858

The AJ-conjecture and cabled knots over torus knots

Dennis Ruppe·Xingru Zhang

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Abstract

We show that most cabled knots over torus knots in $S^3$ satisfy the AJ-conjecture, namely each $(r,s)$-cabled knot over each $(p,q)$-torus knot satisfies the $AJ$-conjecture if $r$ is not a number between $0$ and $pqs$.

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BibTeX RIS

Dennis Ruppe, Xingru Zhang. 2014-03-07. The AJ-conjecture and cabled knots over torus knots. https://arxiv.org/abs/1403.1858

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