1 citations · 1 across the 8 of their papers we have counts for
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Folding Branched Covers of the -Sphere Branched over Knots
J. Scott Carter, Seonmi Choi, Byeorhi Kim
A folding of a branched cover of the 3-sphere that is branched over a knot is a continuous map of the cover into the product of the sphere with a disk that has the property that th…
MC-Biquandles and MC-Biquandle Coloring Quivers
Seonmi Choi, Sam Nelson
We introduce the notion of mc-biquandles, algebraic structures which have possibly distinct biquandle operations at single-component and multi-component crossings. These structures…
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…
Marked Graph Mosaics
Seonmi Choi, Sam Nelson
We consider the notion of mosaic diagrams for surface-links using marked graph diagrams. We establish bounds, in some cases tight, on the mosaic numbers for the surface-links with…
On invariants for surface-links in entropic magmas via marked graph diagrams
Seonmi Choi, Seongjeong Kim
M. Niebrzydowski and J. H. Przytycki defined a Kauffman bracket magma and constructed the invariant P of framed links in 3-space. The invariant is closely related to the Kauffman b…
Non-orientable surfaces in 4-dimensional space
Yongju Bae, J. Scott Carter, Seonmi Choi +1
This article is a survey article that gives detailed constructions and illustrations of some of the standard examples of non-orientable surfaces that are embedded and immersed in 4…