English

From biquandle structures to Hom-biquandles

Geometric Topology 2020-04-24 v1 Group Theory

Abstract

We investigate the relationship between the quandle and biquandle coloring invariant and obtain an enhancement of the quandle and biquandle coloring invariants using biquandle structures. We also continue the study of biquandle homomorphisms into a medial biquandle begun by the second author et al., finding biquandle analogs of results about Hom-quandles. We describe the biquandle structure of the Hom-biquandle, and consider the relationship between the Hom-quandle and Hom-biquandle.

Cite

@article{arxiv.1907.10259,
  title  = {From biquandle structures to Hom-biquandles},
  author = {Eva Horvat and Alissa S. Crans},
  journal= {arXiv preprint arXiv:1907.10259},
  year   = {2020}
}

Comments

15 pages, 2 figures

R2 v1 2026-06-23T10:29:04.007Z