arXiv subjects

Dennis Ruppe

Publications and source records attributed to Dennis Ruppe.

2 recordsLinked to original sources

arXiv2015

The AJ-conjecture and cabled knots over the figure eight knot

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 $4s$.

math.GT↗

arXiv2014

The AJ-conjecture and cabled knots over torus knots

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 $pqs$.

math.GT↗