3 papers
math.QA2023
Quandles with one non-trivial column
Nicholas Cazet
The axioms of a quandle imply that the columns of its Cayley table are permutations. This paper studies quandles with exactly one non-trivially permuted column. Their automorphism…
math.GT2022
Symmetric quandle colorings and ribbon concordance
Nicholas Cazet
A quandle can always trivially color an orientable surface-link. This note shows that the surface-link of Yoshikawa's table cannot be colored by a symmetric dihedral…
math.GT2022
On the triple point number of surface-links in Yoshikawa's table
Nicholas Cazet
Yoshikawa made a table of knotted surfaces in R^4 with ch-index 10 or less. This remarkable table is the first to enumerate knotted surfaces analogous to the classical prime knot t…