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On the AJ conjecture for cable knots

2014/12/08 by Anh T. Tran, Tran, Anh T.
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Primary 57N10. Secondary 57M25 #Quantum Algebra (math.QA) #math.GT #math.QA #msc:57M25 #msc:57N10.

paper · pdf · doi:10.48550/arxiv.1412.2731

arXiv admin note: substantial text overlap with arXiv:1409.6071; and with arXiv:math/0407521 by other authors

arxiv created 2015/01/21 · arxiv updated 2015/01/22

Abstract

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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