5 citations · 19 across the 17 of their papers we have counts for
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math.GT2018
Shadow biquandles and local biquandles
Kanako Oshiro
Given a shadow biquandle composed of a biquandle and a strongly connected -set , we have a local biquandle structure on . The (co)homology groups of such shado…
math.GT2018★ 2 cited
Local biquandles and Niebrzydowski's tribracket theory
Sam Nelson, Kanako Oshiro, Natsumi Oyamaguchi
We introduce a new algebraic structure called \textit{local biquandles} and show how colorings of oriented classical link diagrams and of broken surface diagrams are related to tri…
math.GT2018
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…