Extending Knot Polynomials of Braided Hopf Algebras to Links
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.
Fields of Study & Subjects
Geometric and Algebraic Topology
Advanced Combinatorial Mathematics
Algebraic structures and combinatorial models
Publication details
- Journal / source
- Symmetry Integrability and Geometry Methods and Applications
- Publication date
- 18 May 2026
- Language
- EN