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Cyclotomic expansions of HOMFLY-PT colored by rectangular Young diagrams (1902.02275v3)

Published 6 Feb 2019 in math.GT, hep-th, math-ph, math.MP, and math.QA

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.

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