6 papers
Embedding infinite cyclic covers of knot spaces into 3-space
Boju Jiang, Yi Ni, Shicheng Wang +1
We say a knot in the 3-sphere has {\it Property } if the infinite cyclic cover of the knot exterior embeds into . Clearly all fibred knots have P…
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 -surjective maps between closed aspherical 3-manifolds having the same rank on must be of non-zero degree. The conjecture is proved for Seif…
On finiteness of the number of boundary slopes of immersed surfaces in 3-manifolds
Joel Hass, Shicheng Wang, Qing Zhou
For any hyperbolic 3-manifold with totally geodesic boundary, there are finitely many boundary slopes for essential immersed surfaces of a given genus. There is a uniform bound…
Any 3-manifold 1-dominates at most finitely many geometric 3-manifolds
Shicheng Wang, Qing Zhou
In this paper, we proved that any closed orientable 3-manifold 1-dominates at most finitely many geometric 3-manifolds.
Boundary slopes of immersed surfaces in 3-manifolds
Joel Hass, J. Hyam Rubinstein, Shicheng Wang
This paper presents some finiteness results for the number of boundary slopes of immersed essential surfaces of given genus g in a compact 3-manifold with torus boundary. In the ca…
Pseudo-Anosov maps and simple closed curves on surfaces
Shicheng Wang, Ying-Qing Wu, Qing Zhou
Given a pair of curves C_1 and C_2 on a hyperbolic surface F, when does there exist a pseudo-Anosov map sending one to another? More generally, one may ask the same question for C_…