Mutation invariance for the zeroth coefficients of the colored HOMFLY polynomial
classification
🧮 math.GT
keywords
homflypolynomialcablescoloreddistinguishmutantszerothcoefficient
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We show that the zeroth coefficient of the cables of the HOMFLY polynomial (colored HOMFLY polynomials) does not distinguish mutants. This makes a sharp contrast with the total HOMFLY polynomial whose 3-cables can distinguish mutants.
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