Hongbin Sun

activity

20082021

collaborators

10 papers

math.GT2021

Virtual domination of 3-manifolds II

Hongbin Sun

For any closed oriented 3-manifold $M$ with positive simplicial volume and any closed oriented 3-manifold $N$ , we prove that there exists a finite cover $M^{'}$ of $M$ that admits a d…

math.GT2021

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…

math.GT2021

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 $G$ and any finitely gener…

math.GT2020

The panted cobordism group of cusped hyperbolic 3-manifolds

Hongbin Sun

For any oriented cusped hyperbolic $3$ -manifold $M$ , we study its $(R, ε)$ -panted cobordism group, which is the abelian group generated by $(R, ε)$ -good curves in $M$ modulo the orie…

math.GR2019

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…

math.GR2019

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 $A, B \in GL_{m} (C)$ be quasi--unipotent matrices such that the Jordan Canonical F…