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arXiv:1409.6071 [math.GT]AbstractReferencesReviewsResources

On the AJ conjecture for cables of twist knots

Anh T. Tran

Published 2014-09-22Version 1

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 $|r| \ge \begin{cases} 5+4m &\mbox{if } m> 0, \\ 3-4m &\mbox{if } m<0. \end{cases} $

Comments: 14 pages, 1 figure. arXiv admin note: text overlap with arXiv:1111.5258, arXiv:math/0407521, arXiv:1405.4055
Categories: math.GT, math.QA
Subjects: 57N10, 57M25
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