9 citations · 37 across the 28 of their papers we have counts for
3 papers · 2 filters
Polynomial cocycles of Alexander quandles and applications
Kheira Ameur, Masahico Saito
Cocycles are constructed by polynomial expressions for Alexander quandles. As applications, non-triviality of some quandle homology groups are proved, and quandle cocycle invariant…
Tangle embeddings and quandle cocycle invariants
Kheira Ameur, Mohamed Elhamdadi, Tom Rose +2
To study embeddings of tangles in knots, we use quandle cocycle invariants. Computations are carried out for the tables of knots and tangles, to investigate which tangles may or ma…
Virtual Knot Invariants from Group Biquandles and Their Cocycles
J. Scott Carter, Mohamed Elhamdadi, Masahico Saito +2
A group-theoretical method, via Wada's representations, is presented to distinguish Kishino's virtual knot from the unknot. Biquandles are constructed for any group using Wada's br…