Homfly polynomials for periodic knots via state model
classification
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math.GN
keywords
periodiccriteriaaxisgivehomflyinvariantknotknots
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We give criteria for oriented links to be periodic of prime order using the quantum $\mathrm{SL}(N)$-invariant. The criteria are based upon an observation on the linking number between a periodic knot and its axis of the rotation.
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