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20082021
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9 papers · 1 filter

math.GT2026

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…

math.GT2021

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…

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 and any finitely gener…

math.GT2020

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…

math.GT2018

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…