Xifeng Jin

most citedOn Homology Roses and the D(2)-problem

1 citations · 1 across the 5 of their papers we have counts for

collaborators

5 papers

math.GT2020

Bounded geodesic image theorem via bicorn curves

Xifeng Jin

We give a uniform bound of the bounded geodesic image theorem for the closed oriented surfaces. The proof utilizes the bicorn curves introduced by Przytycki and Sisto (see arXiv:15…

math.GT2020

Heegaard distance of the link complements in $S^{3}$

Xifeng Jin

We show that, for any integers, $g \geq 3$ and $n \geq 2$ , there exists a link in $S^{3}$ such that its complement has a genus $g$ Heegaard splitting with distance $n$ .

math.GT2020

Super efficiency of efficient geodesics in the complex of curves

Xifeng Jin, William W. Menasco

We show that efficient geodesics have the strong property of "super efficiency". For any two vertices, $v, w \in C (S_{g})$ , in the complex of curves of a closed oriented s…

math.GT2020

Origami edge-paths in the curve graph

Hong Chang, Xifeng Jin, William W. Menasco

An "origami" (or flat structure) on a closed oriented surface, $S_{g}$ , of genus $g \geq 2$ is obtained from a finite collection of unit Euclidean squares by gluing each right edge t…

math.AT2013★ 1 cited

On Homology Roses and the D(2)-problem

Xifeng Jin, Yang Su, Li Yu

For a commutative ring $R$ with a unit, an $R$ -homology rose is a topological space whose homology groups with $R$ -coefficients agree with those of a bouquet of cirlces. In this pa…

Bounded geodesic image theorem via bicorn curves

Heegaard distance of the link complements in S3

Super efficiency of efficient geodesics in the complex of curves

Origami edge-paths in the curve graph

On Homology Roses and the D(2)-problem

Heegaard distance of the link complements in $S^{3}$