On the AJ conjecture for cable knots
Volume 237 / 2017
Fundamenta Mathematicae 237 (2017), 261-279
MSC: Primary 57N10; Secondary 57M25.
DOI: 10.4064/fm148-8-2016
Published online: 6 February 2017
Abstract
We study the AJ conjecture for $(r,2)$-cables of knots, 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.
