Colored HOMFLY polynomials that distinguish mutant knots

Abstract

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.

13 pages, 6 figures, 1 table; A mathematica file is attached as an ancillary file; v2, The title has been changed. The mutation on a 2-tangle is included in the end of section 2; v3 published version

References in corpus (2)

• Colored HOMFLY polynomials of knots presented as double fat diagrams
• On colored HOMFLY polynomials for twist knots

Cited by in corpus (30)

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• Perspectives of differential expansion
• Distinguishing Mutant Knots
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• HOMFLY for twist knots and exclusive Racah matrices in representation [333]
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