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Colored HOMFLY polynomials that distinguish mutant knots

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arxiv 1504.00364 v3 pith:2MY2SCWE submitted 2015-04-01 math.GT hep-thmath-phmath.MP

Colored HOMFLY polynomials that distinguish mutant knots

classification math.GT hep-thmath-phmath.MP
keywords coloredhomflypolynomialsdistinguishmutantblocksbraidingconformal
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We illustrate from the viewpoint of braiding operations on WZNW conformal blocks how colored HOMFLY polynomials with multiplicity structure can detect mutations. As an example, we explicitly evaluate the (2,1)-colored HOMFLY polynomials that distinguish a famous mutant pair, Kinoshita-Terasaka and Conway knot.

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