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math.GT2023
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…
math.GT2023
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…