Extending Knot Polynomials of Braided Hopf Algebras to Links
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.
Authors
- Ben-Michael Kohli
- Guillaume Tahar (ORCID: https://orcid.org/0000-0002-1530-3923)
- Stavros Garoufalidis (ORCID: https://orcid.org/0000-0001-5381-1593)
- Matthew Harper
Institutions
- University of Geneva (CH)
- Southern University of Science and Technology (CN)
- Institute of Mathematical Sciences (ES)
- Michigan State University (US)
Publication Details
- Journal
- Symmetry Integrability and Geometry Methods and Applications
- Published
- 2026-05-18
- DOI
- https://doi.org/10.3842/sigma.2026.050
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation