The AJ-conjecture and cabled knots over torus knots

2014/03/07 by Ruppe, Dennis, Zhang, Xingru
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1403.1858

Abstract

We show that most cabled knots over torus knots in S³ satisfy the AJ-conjecture, namely each (r,s)-cabled knot over each (p,q)-torus knot satisfies the AJ-conjecture if r is not a number between 0 and pqs.

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