5 citations · 19 across the 17 of their papers we have counts for
17 papers
Quandles versus symmetric quandles for oriented links
Kanako Oshiro
Given a quandle, we can construct a symmetric quandle called the symmetric double of the quandle. We show that the (co)homology groups of a given quandle are isomorphic to those of…
Palettes of Dehn colorings for spatial graphs and the classification of vertex conditions
Kanako Oshiro, Natsumi Oyamaguchi
In this paper, we study Dehn colorings of spatial graph diagrams, and classify the vertex conditions, equivalently the palettes. We give some example of spatial graphs which can be…
Dehn colorings and vertex-weight invariants for spatial graphs
Kanako Oshiro, Natsumi Oyamaguchi
In this paper, we study Dehn colorings for spatial graphs, and give a family of spatial graph invariants that are called vertex-weight invariants. We give some examples of spatial…
Cocycles of -Alexander biquandles and -Alexander multiple conjugation biquandles
Atsushi Ishii, Masahide Iwakiri, Seiichi Kamada +3
Biquandles and multiple conjugation biquandles are algebras which are related to links and handlebody-links in -space. Cocycles of them can be used to construct state-sum type i…
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…
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…