7 citations · 10 across the 9 of their papers we have counts for
9 papers
Two-variable Parity Polynomial for Virtual Knotoids
Siqi Ding, Suo Gao, Fengchun Lei +2
In this paper, we introduce a two-variable parity polynomial invariant for virtual knotoids, defined on oriented virtual knotoid diagrams. The construction is based on the parity o…
Vassiliev invariants for virtual knotoids
Siqi Ding, Xiaobo Jin, Fengchun Lei +2
In this paper, we introduce the 0-smoothing invariant of virtual knotoids constructed from local modification at classical crossings, which take values in a free $\ma…
Knot data analysis using multiscale Gauss link integral
Li Shen, Hongsong Feng, Fengling Li +3
In the past decade, topological data analysis (TDA) has emerged as a powerful approach in data science. The main technique in TDA is persistent homology, which tracks topological i…
-type invariants and cohomology jump loci for complex smooth quasi-projective varieties
Fenglin Li, Yongqiang Liu
Let X be a complex smooth quasi-projective variety with a fixed epimorphism . In this paper, we consider the asymptotic behaviour of inv…
A characteristics for a surface sum of two handlebodies along an annulus or a once-punctured torus to be a handlebody
Fengchun Lei, He Liu, Fengling Li +1
The main results of the paper is that we give a characteristics for an annulus sum and a once-punctured torus sum of two handlebodies to be a handlebody as follows: 1. The annulus…
A theory of orbit braids
Hao Li, Zhi Lü, Fengling Li
This paper upbuilds the theoretical framework of orbit braids in by making use of the orbit configuration space , which enriches the theory of ordinary braids…
Density of roots of the Yamada polynomial of spatial graphs
Miaowang Li, Fengchun Lei, Fengling Li +1
We survey the construction and properties of the Yamada polynomial of spatial graphs and present the Yamada polynomial formulae for some classes of graphs. Then we construct an inf…
On Yamada polynomial of spatial graphs obtained by edge replacements
Miaowang Li, Fengchun Lei, Fengling Li +1
We present formulae for computing the Yamada polynomial of spatial graphs obtained by replacing edges of plane graphs, such as cycle-graphs, theta-graphs, and bouquet-graphs, by sp…
A proof of Lickorish and Wallace's theorem
Qiang E, Fengchun Lei, Fengling Li
In this paper, we give a simple proof of Lickorish and Wallace's theorem, which states that every closed orientable 3-manifold is obtained by surgery on some link in 3-sphere.