Geodesic
On the AJ conjecture for cables of twist knots
Anh T. Tran1
1Department of Mathematical Sciences The University of Texas at Dallas Richardson, TX 75080, U.S.A.
Fundamenta Mathematicae, Tome 230 (2015) no. 3, pp. 291-307

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We study the AJ conjecture that relates the A-polynomial and the colored Jones polynomial of a knot in $S^3$. We confirm the AJ conjecture for $(r,2)$-cables of the $m$-twist knot, for all odd integers $r$ satisfying $$\begin{cases} (r+8)(r-8m)>0 \mbox{if } m> 0, \\ r(r+8m-4)>0 \mbox{if } m0. \end{cases} $$
DOI : 10.4064/fm230-3-5
Keywords: study conjecture relates a polynomial colored jones polynomial knot confirm conjecture cables m twist knot odd integers satisfying begin cases r mbox m mbox end cases

Anh T. Tran  1

1 Department of Mathematical Sciences The University of Texas at Dallas Richardson, TX 75080, U.S.A. 
Anh T. Tran. On the AJ conjecture for cables of twist knots. Fundamenta Mathematicae, Tome 230 (2015) no. 3, pp. 291-307. doi: 10.4064/fm230-3-5
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