Efstratia Kalfagianni, Rob Mcconkey
Published 2023-09-07Version 1
We use the degree of the colored Jones knot polynomials to show that the crossing number of a $(p,q)$-cable of an adequate knot with crossing number $c$ is larger than $q^2\, c$. As an application we determine the crossing number of $2$-cables of adequate knots.
Comments: 10 pages, 4 Figures. arXiv admin note: substantial text overlap with arXiv:2108.12391
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