Papers › Cyclotomic expansions of HOMFLY-PT colored by rectangular Young diagrams
Cyclotomic expansions of HOMFLY-PT colored by rectangular Young diagrams
Masaya Kameyama, Satoshi Nawata, Runkai Tao, Hao Derrick Zhang
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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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