12 citations · 38 across the 25 of their papers we have counts for
26 papers
Two aspects of graph 3-manifold groups
Hongbin Sun
We prove that fundamental groups of graph 3-manifolds are virtually poly-free and lie in the family Lex. As a consequence, we prove that all finitely generated 3-manifold groups al…
On the realisation problem for mapping degree sets
Christoforos Neofytidis, Hongbin Sun, Ye Tian +2
The set of degrees of maps , where are closed oriented -manifolds, always contains and the set of degrees of self-maps always contains and . Also…
Virtual Domination of 3-manifolds III
Hongbin Sun
We prove that for any oriented cusped hyperbolic 3-manifold and any compact oriented 3-manifold with tori boundary, there exists a finite cover of that admits a de…
Virtual domination of 3-manifolds II
Hongbin Sun
For any closed oriented 3-manifold with positive simplicial volume and any closed oriented 3-manifold , we prove that there exists a finite cover of that admits a d…
On the degree of a finite cover which fibers over circle
Inkang Kim, Hongbin Sun
We give a lower bound for the degree of a finite cover of a hyperbolic 3-manifold which fibers over the circle, in terms of volume, the diameter of the manifold and other new invar…
Maps from 3-manifolds to 4-manifolds that induce isomorphisms on
Hongbin Sun, Zhongzi Wang
In this paper, we prove that any closed orientable 3-manifold other than and satisfies the following properties: (1) For any compact orientable 4-man…
Minimal Euler Characteristics of 4-manifolds with 3-manifold groups
Hongbin Sun, Zhongzi Wang
Let for a compact 3-manifold , and let , and be the invariants of Hausmann-Weinberger, Kotschick and Hillman respectively. For certain class of compact…
All finitely generated 3-manifold groups are Grothendieck rigid
Hongbin Sun
In this paper, we prove that all finitely generated 3-manifold groups are Grothendieck rigid. More precisely, for any finitely generated 3-manifold group and any finitely gener…
The panted cobordism group of cusped hyperbolic 3-manifolds
Hongbin Sun
For any oriented cusped hyperbolic -manifold , we study its -panted cobordism group, which is the abelian group generated by -good curves in modulo the orie…
Subgroup distortion of 3-manifold groups
Hoang Thanh Nguyen, Hongbin Sun
In this paper, we compute the subgroup distortion of all finitely generated subgroups of all finitely generated 3-manifold groups, and the subgroup distortion in this case can only…
An effective Lie--Kolchin theorem for quasi-unipotent matrices
Thomas Koberda, Feng Luo, Hongbin Sun
We establish an effective version of the classical Lie--Kolchin Theorem. Namely, let be quasi--unipotent matrices such that the Jordan Canonical F…
A characterization on separable subgroups of 3-manifold groups
Hongbin Sun
In this paper, we give a complete characterization on which finitely generated subgroups of finitely generated -manifold groups are separable. Our characterization generalizes L…
Geometrically finite amalgamations of hyperbolic 3-manifold groups are not LERF
Hongbin Sun
We prove that, for any two finite volume hyperbolic -manifolds, the amalgamation of their fundamental groups along any nontrivial geometrically finite subgroup is not LERF. This…
Volume of representations and mapping degree
Pierre Derbez, Yi Liu, Hongbin Sun +1
Given a connected real Lie group and a contractible homogeneous proper --space furnished with a --invariant volume form, a real valued volume can be assigned to any repre…
Virtual homological eigenvalue and mapping torus of pseudo-Anosov maps
Hongbin Sun
In this note, we show that, if a pseudo-Anosov map admits a finite cover whose action on the first homology has spectral radius greater than , then the monodromy of a…
NonLERFness of arithmetic hyperbolic manifold groups and mixed 3-manifold groups
Hongbin Sun
We will show that, for any noncompact arithmetic hyperbolic -manifold with , and any compact arithmetic hyperbolic -manifold with that is not a -dimensional a…
Positive simplicial volume implies virtually positive Seifert volume for -manifolds
Pierre Derbez, Yi Liu, Hongbin Sun +1
In this paper, it is shown that for any closed orientable -manifold with positive simplicial volume, the growth of the Seifert volume of its finite covers is faster than the lin…
Virtual Domination of -manifolds
Hongbin Sun
For any closed oriented hyperbolic -manifold , and any closed oriented -manifold , we will show that admits a finite cover , such that there exists a degree-…
Virtual Homological Torsion of Closed Hyperbolic 3-manifolds
Hongbin Sun
In this paper, we will use Kahn-Markovic's almost totally geodesic surfaces to construct certain -injective 2-complexes in closed hyperbolic 3-manifolds. Such 2-complexes are…
A Transcendental Invariant of Pseudo-Anosov Maps
Hongbin Sun
For each pseudo-Anosov map on surface , we will associate it with a -submodule of , denoted by . is defined by an interaction betwee…
On slope genera of knotted tori in 4-space
Yi Liu, Yi Ni, Hongbin Sun +1
In this note, we investigate genera for the slopes of a knotted torus in the 4-sphere analogous to the genus of a classical knot. We compare various formulations of this notion, an…
Finiteness of mapping degree sets for 3-manifolds
Pierre Derbez, Hongbin Sun, Shicheng Wang
By constructing certain maps, this note completes the answer of the Question: For which closed orientable 3-manifold , the set of mapping degrees is finite for any clo…
On fibered commensurability
Danny Calegari, Hongbin Sun, Shicheng Wang
This paper initiates a systematic study of the relation of commensurability of surface automorphisms, or equivalently, fibered commensurability of 3-manifolds fibering over the cir…
Commensurability of Surface Automorphisms \\and surface bundles over
Hongbin Sun, Shicheng Wang
This note will become part of a new paper with more authors.