On the AJ conjecture for cable knots. (English) Zbl 1395.57028
In the paper under review, the author studies the AJ Conjecture [S. Garoufalidis, Geom. Topol. Monogr. 7, 291–309 (2004; Zbl 1080.57014)] for \((r,2)\)-cables of knots, where \(r\) is an odd integer. With the use of skein theory, it is shown that the conjecture holds for \((r,2)\)-cables of some classes of two-bridge knots and pretzel knots.
Reviewer: Mohamed Elhamdadi (Tampa)
MSC:
57N10 | Topology of general \(3\)-manifolds (MSC2010) |
57M25 | Knots and links in the \(3\)-sphere (MSC2010) |