10 citations · 22 across the 9 of their papers we have counts for
9 papers
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…
A standard form of incompressible surfaces in 3-dimensional handlebodies
Wei Lin, Fengchun Lei
Applying Morse theory, we give a standard form for a class of surfaces which includes all the properly embedded incompressible surfaces in 3-dimensional handlebodies. We also give…
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…
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.
Critical Heegaard surfaces obtained by self-amalgamation
Qiang E, Fengchun Lei
Critical surfaces can be regarded as topological index 2 minimal surfaces which was introduced by David Bachman. In this paper we give a sufficient condition and a necessary condit…
Effect of a crossing change on crossing number
Longting Wu, Shuting Shao, Shan Liu +1
The purpose of this article is to give a preliminary clarification on the relation between crossing number and crossing change. With a main focus on the span of X polynomial, we pr…
Module Structure on Lie Powers and Natural Coalgebra-Split Sub Hopf Algebras of Tensor Algebras
J. Li, F. Lei, J. Wu
In this article, we investigate the functors from modules to modules that occur as the summands of tensor powers and the functors from modules to Hopf algebras that occur as natura…