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math.GT2023★ 1 cited
Crossing numbers of cable knots
Efstratia Kalfagianni, Rob Mcconkey
We use the degree of the colored Jones knot polynomials to show that the crossing number of a -cable of an adequate knot with crossing number is larger than . A…
math.GT2023
Linear Bounds of the Crosscap Number of Knots
Rob McConkey
Kalfagianni and Lee found two-sided bounds for the crosscap number of an alternating link in terms of certain coefficients of the Jones polynomial. We show here that we can find si…