On the AJ conjecture for cable knots

Abstract

We study the AJ conjecture for $(r,2)$-cables of a knot, where $r$ is an odd integer. Using skein theory, we show that the AJ conjecture holds true for most $(r,2)$-cables of some classes of two-bridge knots and pretzel knots.

arXiv admin note: substantial text overlap with arXiv:1409.6071; and with arXiv:math/0407521 by other authors