Cyclotomic expansions of HOMFLY-PT colored by rectangular Young diagrams

Masaya Kameyama; Satoshi Nawata; Runkai Tao; Hao Derrick Zhang

doi:10.1007/s11005-020-01318-5

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arXiv · 1902.02275

Cyclotomic expansions of HOMFLY-PT colored by rectangular Young diagrams

Masaya Kameyama·Satoshi Nawata·Runkai Tao·Hao Derrick Zhang

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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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Masaya Kameyama, Satoshi Nawata, Runkai Tao, Hao Derrick Zhang. 2019-02-06. Cyclotomic expansions of HOMFLY-PT colored by rectangular Young diagrams. https://doi.org/10.1007/s11005-020-01318-5

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