1 citations · 1 across the 7 of their papers we have counts for
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Mosaics for immersed surface-links
Seonmi Choi, Jieon Kim
The concept of a knot mosaic was introduced by Lomonaco and Kauffman as a means to construct a quantum knot system. The mosaic number of a given knot is defined as the minimum…
Entropic Niebrzydowski Tribrackets
Jieon Kim, Sam Nelson
We introduce the notion of entropic Niebrzydowski tribrackets or just entropic tribrackets, analogous to entropic (also known as abelian or medial ) quandles and biquandles. We sho…
Quandle Coloring Quivers of Surface-Links
Jieon Kim, Sam Nelson, Minju Seo
Quandle coloring quivers are directed graph-valued invariants of oriented knots and links, defined using a choice of finite quandle and set of endom…
Biquandle cohomology and state-sum invariants of links and surface-links
Seiichi Kamada, Akio Kawauchi, Jieon Kim +1
In this paper, we discuss the (co)homology theory of biquandles, derived biquandle cocycle invariants for oriented surface-links using broken surface diagrams and how to compute th…
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…
Presentation of immersed surface-links by marked graph diagrams
Seiichi Kamada, Akio Kawauchi, Jieon Kim +1
It is well known that surface-links in 4-space can be presented by diagrams on the plane of 4-valent spatial graphs with makers on the vertices, called marked graph diagrams. In th…