MC-biquandles and MC-biquandle coloring quivers
We introduce the notion of mc-biquandles, algebraic structures which have possibly distinct biquandle operations at single-component and multi-component crossings. These structures provide computable homset invariants for classical and virtual links. We categorify these homsets to obtain mc-biquandle coloring quivers and define several new link invariants via decategorification from these invariant quivers.
Authors
- Seonmi Choi (ORCID: https://orcid.org/0000-0001-7362-0524)
- Sam Nelson (ORCID: https://orcid.org/0000-0003-4973-2467)
Institutions
- Claremont McKenna College (US)
- Seowon University (KR)
Publication Details
- Journal
- Journal of Knot Theory and Its Ramifications
- Published
- 2024-09-13
- DOI
- https://doi.org/10.1142/s0218216524500330
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Ministry of Education
- National Research Foundation of Korea