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arXiv · 1610.04778

On rectangular HOMFLY for twist knots

Ya. Kononov·A. Morozov
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Abstract

As a new step in the study of rectangularly-colored knot polynomials, we reformulate the prescription of arXiv:1606.06015 for twist knots in the double-column representations $R=[rr]$ in terms of skew Schur polynomials. These, however, are mysteriously shifted from the standard topological locus, what makes further generalization to arbitrary $R=[r^s]$ not quite straightforward.

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Ya. Kononov, A. Morozov. 2016-10-15. On rectangular HOMFLY for twist knots. https://doi.org/10.1142/s0217732316502230

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