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Mutation invariance for the zeroth coefficients of colored HOMFLY polynomial. (English) Zbl 1439.57029
Summary: 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.
MSC:
57K14 Knot polynomials
57K10 Knot theory
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