Seongjeong Kim

collaborators

3 papers

math.GT2025

Braids for Knots in $S_{g} \times S^{1}$ and the affine Hecke algebra

Seongjeong Kim

In \cite{Kim} it is shown that for an oriented surface $S_{g}$ of genus $g$ links in $S_{g} \times S^{1}$ can be presented by virtual diagrams with a decoration, called {\em double…

math.GT2025

Knots in $S_{g} \times S^{1}$ , their essential diagrams and virtual knots

Seongjeong Kim

In \cite{Kim} it is shown that knots in $S_{g} \times S^{1}$ can be presented by virtual diagrams with a decoration, so called, {\em double lines}. In this paper, we study the esse…

math.GT2024

Liftings of knots in $S_{g} \times S^{1}$ and covering of virtual knots

Seongjeong Kim

A virtual link diagram is called {\em (mod $m$ ) almost classical} if it admits a (mod $m$ ) Alexander numbering. In \cite{BodenGaudreauHarperNicasWhite}, it is shown that Alexander…

Braids for Knots in Sg​×S1 and the affine Hecke algebra

Knots in Sg​×S1, their essential diagrams and virtual knots

Liftings of knots in Sg​×S1 and covering of virtual knots

Braids for Knots in $S_{g} \times S^{1}$ and the affine Hecke algebra

Knots in $S_{g} \times S^{1}$ , their essential diagrams and virtual knots

Liftings of knots in $S_{g} \times S^{1}$ and covering of virtual knots