On the AJ conjecture for cable knots
classification
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conjectureknotscablescableclassesholdsintegerknot
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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.
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