3 papers
math.GT2026
Virtual Knotoids in Thickened Surfaces
Neslihan Gügümcü, Hamdi Kayaslan
In this paper, we give a geometric interpretation of virtual knotoids as arcs in thickened surfaces. Then we show that virtual knotoid theory is a generalization of classical knoto…
math.GT2025
The clock theorem for knotoids and linkoids
Neslihan Gügümcü, Louis H. Kauffman
In this paper, we generalize the \textit{Clock Theorem} of Formal Knot Theory to knotoids in . The clock theorem implies that clock states of a knotoid diagram form a lattice…
math.GT2024
Pointed quandles of linkoids
Neslihan Gügümcü, Runa Pflume
In this paper we define the fundamental quandle of knotoids and linkoids and prove that it is invariant under the under forbidden-move and hence encodes only the information of the…