Shicheng Wang

activity

19982005

collaborators

Showing math.GTShow all

11 papers · 1 filter

math.GT2005

Pseudo-Anosov extensions and degree one maps between hyperbolic surface bundles

Michel Boileau, Yi Ni, Shicheng Wang

Let $F^{'}, F$ be any two closed orientable surfaces of genus $g^{'} > g \geq 1$ , and $f : F \to F$ be any pseudo-Anosov map. Then we can "extend" $f$ to be a pseudo-Anosov map $f^{'} : F^{'} \to F^{'}$ so…

math.GT2005

On embedding all $n$ -manifolds into a single $(n + 1)$ -manifold

Fan Ding, Shicheng Wang, Jiangang Yao

For each composite number $n \neq = 2^{k}$ , there does not exist a single connected closed $(n + 1)$ -manifold such that any smooth, simply-connected, closed $n$ -manifold can be topological…

math.GT2005

Embedding infinite cyclic covers of knot spaces into 3-space

Boju Jiang, Yi Ni, Shicheng Wang +1

We say a knot $k$ in the 3-sphere $S^{3}$ has {\it Property $I E$ } if the infinite cyclic cover of the knot exterior embeds into $S^{3}$ . Clearly all fibred knots have P…

math.GT2004

3-manifolds that admit knotted solenoids as attractors

Boju Jiang, Yi Ni, Shicheng Wang

Motivated by the study in Morse theory and Smale's work in dynamics, the following questions are studied and answered: (1) When does a 3-manifold admit an automorphism having a kno…

math.GT2004

Small knots and large handle additions

Ruifeng Qiu, Shicheng Wang

We construct a hyperbolic 3-manifold $M$ (with $\partial M$ totally geodesic) which contains no essential closed surfaces, but for any even integer $g > 0$ there are infinitely many…

math.GT2000

Generalized Hopfian property, minimal Haken manifold, and J. Simon's conjecture for 3-manifold groups

Alan W. Reid, Shicheng Wang, Qing Zhou

We address a conjecture that $π_{1}$ -surjective maps between closed aspherical 3-manifolds having the same rank on $π_{1}$ must be of non-zero degree. The conjecture is proved for Seif…

Pseudo-Anosov extensions and degree one maps between hyperbolic surface bundles

On embedding all n-manifolds into a single (n+1)-manifold

Embedding infinite cyclic covers of knot spaces into 3-space

3-manifolds that admit knotted solenoids as attractors

Small knots and large handle additions

Generalized Hopfian property, minimal Haken manifold, and J. Simon's conjecture for 3-manifold groups

On embedding all $n$ -manifolds into a single $(n + 1)$ -manifold