English

On rectangular HOMFLY for twist knots

High Energy Physics - Theory 2016-11-18 v1 Mathematical Physics Geometric Topology math.MP

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]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=[rs]R=[r^s] not quite straightforward.

Cite

@article{arxiv.1610.04778,
  title  = {On rectangular HOMFLY for twist knots},
  author = {Ya. Kononov and A. Morozov},
  journal= {arXiv preprint arXiv:1610.04778},
  year   = {2016}
}

Comments

6 pages

R2 v1 2026-06-22T16:21:57.779Z