Cyclotomic expansions of HOMFLY-PT colored by rectangular Young diagrams

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

LETTERS IN MATHEMATICAL PHYSICS（2020）

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摘要

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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关键词

Knot invariants,Special functions

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