Cyclotomic expansions of HOMFLY-PT colored by rectangular Young diagrams
arXiv:1902.02275 · doi:10.1007/s11005-020-01318-5
Abstract
We conjecture a closed-form expression of HOMFLY-PT invariants of double twist knots colored by rectangular Young diagrams where the twist is encoded in interpolation Macdonald polynomials. We also put forth a conjecture of cyclotomic expansions of HOMFLY-PT polynomials colored by rectangular Young diagrams for any knot.
arXiv comment10 pages, 3 figures, Mathematica files are attached as ancillary files; v2 typos are corrected; v3 published version
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