1 citations · 1 across the 4 of their papers we have counts for
5 papers
On biquandles for the groups and surface singular braid monoid
Sang Youl Lee, Vassily Olegovich Manturov, Igor Mikhailovich Nikonov
The groups were defined by V. O. Manturov in order to describe dynamical systems in configuration systems. In the paper we consider two applications of this theory: we defi…
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…
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…
Computations of quandle cocyle invariants of surface-links using marked graph diagrams
Seiichi Kamada, Jieon Kim, Sang Youl Lee
By using the cohomology theory of quandles, quandle cocycle invariants and shadow quandle cocycle invariants are defined for oriented links and surface-links via broken surface dia…
The canonical genus for Whitehead doubles of a family of alternating knots
Hee Jeong Jang, Sang Youl Lee
For any given integer and a quasitoric braid with , we prove that the maximum degree in of the HOMFLYPT…