MC-Biquandles and MC-Biquandle Coloring Quivers
Geometric Topology
2024-07-02 v3 Quantum Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.2311.00510,
title = {MC-Biquandles and MC-Biquandle Coloring Quivers},
author = {Seonmi Choi and Sam Nelson},
journal= {arXiv preprint arXiv:2311.00510},
year = {2024}
}
Comments
12 pages. Version 3 includes clarifications and improvements in response to reviewer comments