3 citations · 3 across the 4 of their papers we have counts for
3 papers · 1 filter
Biquandle (co)homology and handlebody-links
Atsushi Ishii, Masahide Iwakiri, Seiichi Kamada +3
In this paper, we introduce the (co)homology group of a multiple conjugation biquandle. It is the (co)homology group of the prismatic chain complex, which is related to the homolog…
A multiple conjugation biquandle and handlebody-links
Atsushi Ishii, Masahide Iwakiri, Seiichi Kamada +3
We introduce a multiple conjugation biquandle, and show that it is the universal algebra to define a semi-arc coloring invariant for handlebody-links. A multiple conjugation biquan…
A -family of quandles and handlebody-knots
Atsushi Ishii, Masahide Iwakiri, Yeonhee Jang +1
We introduce the notion of a -family of quandles which is an algebraic system whose axioms are motivated by handlebody-knot theory, and use it to construct invariants for handle…