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Cyclotomic expansions of HOMFLY-PT colored by rectangular Young diagrams
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Cyclotomic expansions of HOMFLY-PT colored by rectangular Young diagrams
classification
math.GT
hep-thmath-phmath.MPmath.QA
keywords
coloreddiagramshomfly-ptrectangularyoungconjecturecyclotomicexpansions
read the original 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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