The AJ-conjecture and cabled knots over the figure eight knot
classification
🧮 math.GT
keywords
knotcabledeightfigureaj-conjectureknotsconjecturenumber
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We show that most cabled knots over the figure eight knot in $S^3$ satisfy the AJ-conjecture, in particular, any $(r,s)$-cabled knot over the figure eight knot satisfies the $AJ$-conjecture if $r$ is not a number between $-4s$ and $4s$.
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