1 citations · 3 across the 7 of their papers we have counts for
8 papers
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…
Knots in and winding parities
Seongjeong Kim
A virtual knot, which is one of generalizations of knots in (or ), is, roughly speaking, an embedded circle in thickened surface . In this p…
Two-dimensional self-interlocking structures in three-space
Vassily O. Manturov, Alexei Kanel-Belov, Seongjeong Kim
It is well known that if there exists a finite set of convex bodies on the plane with non-overlapping interiors, then there is at least one "extremal" one among them, i.e., some on…
On long knots in the full torus
Sera Kim, Seongjeong Kim, Vassily Olegovich Manturov
The aim of this paper is to realise the techniques of picture-valued invariants and invariants valued in free groups for long knots in the full torus. Such knots and links are of a…
On links in and its invariants
Seongjeong Kim
A virtual knot, which is one of generalizations of knots in (or ), is, roughly speaking, an embedded circle in thickened surface . In this t…
On Groups and : A Study of Manifolds, Dynamics, and Invariants
Vassily O. Manturov, Denis A. Fedoseev, Seongjeong Kim +1
Recently the first named author defined a 2-parametric family of groups . Those groups may be regarded as analogues of braid groups. Study of the connection between the grou…
Remarks on the invariants valued in the generalization of Conway algebra
Seongjeong Kim
In~\cite{Kim} the author generalized the Conway algebra and constructed the invariant valued in the generalized Conway algebra defined by applying two skein relations to crossings,…
On the generalization of Conway algebra
Seongjeong Kim
In \cite{PrzytyskiTraczyk} J.H.Przytyski and P.Traczyk introduced an algebraic structure, called {\it a Conway algebra,} and constructed an invariant of oriented links, which is a…