Matthew Harper

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math.QA2026

Extending Knot Polynomials of Braided Hopf Algebras to Links

Stavros Garoufalidis, Matthew Harper, Ben-Michael Kohli +2

Recently, a plethora of multivariable knot polynomials were introduced by Kashaev and one of the authors, by applying the Reshetikhin-Turaev functor to rigid $R$ -matrices that come…

math.QA2025

On the colored Links--Gould polynomial

Stavros Garoufalidis, Matthew Harper, Rinat Kashaev +2

We give a cabling formula for the Links--Gould polynomial of knots colored with a $4 n$ -dimensional irreducible representation of $U_{q}^{H} sl (2∣1)$ and identify the…

math.QA2025

On some log-concavity properties of the Alexander-Conway and Links-Gould invariants

Matthew Harper, Ben-Michael Kohli, Jiebo Song +1

The Links--Gould invariant $LG (L; t_{0}, t_{1})$ of a link $L$ is a two-variable quantum generalization of the Alexander--Conway polynomial $I^_{L} (t)$ and has been shown to sh…