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arXiv · 2505.01398

Extending Knot Polynomials of Braided Hopf Algebras to Links

Stavros Garoufalidis·Matthew Harper·Ben-Michael Kohli·Jiebo Song·Guillaume Tahar
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Abstract

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 from braided Hopf algebras with automorphisms. We study the extension of these knot invariants to links, and use this to identify some of them with known link invariants, as conjectured in that same recent work.

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Stavros Garoufalidis, Matthew Harper, Ben-Michael Kohli, Jiebo Song, Guillaume Tahar. 2025-05-02. Extending Knot Polynomials of Braided Hopf Algebras to Links. https://doi.org/10.3842/sigma.2026.050

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