5 papers
The r-coverings and local moves of planar virtual knotoids
Jiacheng An, Fengling Li, Andrei Vesnin
In this paper, we study planar virtual knotoids, which generalize virtual knots and knotoids both. We consider the problem of whether two given planar virtual knotoids can be trans…
The unknotting numbers for plus-welded knotoids
Fengling Li, Andrei Vesnin, Xuan Yang
Knotoid theory is a generalization of knot theory introduced by Turaev in 2012. In recent years, various invariants of knotoids have been studied. In this paper, we mainly discuss…
A three-variable transcendental invariant of planar knotoids via Gauss diagrams
Wandi Feng, Fengling Li, Andrei Vesnin
As a generalization of the classical knots, knotoids are equivalence classes of immersions of the oriented unit interval in a surface. In recent years, a variety of invariants of s…
New Aspects of Analyzing Amyloid Fibrils
Xiaoxi Lin, Yunpeng Zi, Fengling Li +1
This is a summary of mathematical tools we used in research of analyzing the structure of proteins with amyloid form \cite{xi2024Top}. We defined several geometry indicators on the…
The -polynomial invariant for knotoids
Yi Feng, Fengling Li
As a generalization of the classical knots, knotoids deal with the open ended knot diagrams in a surface. In recent years, many polynomial invariants for knotoids have appeared, su…