9 papers · 1 filter
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…
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…
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…
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…