3 papers
math.GT2026
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…
math.AT2025
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…
math.GT2025
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…