The AJ-conjecture and cabled knots over torus knots

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 $pqs$.

arXiv comment19 pages

References in corpus (2)

• On the characteristic and deformation varieties of a knot
• On the AJ conjecture for knots

Cited by in corpus (4)

• The AJ-conjecture and cabled knots over the figure eight knot
• Knot Cabling and the Degree of the Colored Jones Polynomial
• The AJ-Conjecture for Cables of Two Bridge Knots
• On the AJ conjecture for cables of the figure eight knot