Harer-Zagier transform of the HOMFLY-PT polynomial for families of twisted hyperbolic knots (Q6561862)

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scientific article; zbMATH DE number 7871233
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Harer-Zagier transform of the HOMFLY-PT polynomial for families of twisted hyperbolic knots
scientific article; zbMATH DE number 7871233

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    Harer-Zagier transform of the HOMFLY-PT polynomial for families of twisted hyperbolic knots (English)
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    25 June 2024
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    In the article under review, the authors derive expressions for the Harer-Zagier transform of the HOMFLY-PT polynomials for selected families of twisted hyperbolic knots. The zero loci for these families predominantly lie on the unit circle, with deviations possibly occurring only in pairs.
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    knot matrix models
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    superintegrability
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    Harer-Zagier transform
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    HOMFLY-PT polynomial
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    recursive formulas
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    twisted hyperbolic knots
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    pretzel knots
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