Geodesic
On the AJ conjecture for cables of twist knots
Anh T. Tran1
1 Department 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 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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. 
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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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