Zhongzi Wang

collaborators

4 papers

math.GT2026

Profinite rigidity of simple closed curves in surface groups

Zhongzi Wang, Xiaoyu Xu

This paper establishes a new characterization of simple closed curves on a closed orientable surface. Let $I^$ be the fundamental group of a closed orientable surface. We prove tha…

math.GT2026

On the fiberedness of surgery 3-manifolds

Yi Ni, Zhongzi Wang

Let $M$ be a closed orientable 3-manifold and $k$ be a knot in $M$ . Then the Dehn surgery of $M$ along $k$ with slope $I^\pm$ is not surface fibered for all but a sparse set of slopes…

math.GT2025

Maps between circle bundles: Fiber-preserving, Finiteness and Realization of mapping degree sets

Christoforos Neofytidis, Hongbin Sun, Ye Tian +2

Let $E_{i}$ be an oriented circle bundle over a closed oriented aspherical $n$ -manifold $M_{i}$ with Euler class $e_{i} \in H^{2} (M_{i}; Z)$ , $i = 1, 2$ . We prove the following: (i) If e…

math.GT2025

On virtual chirality of 3-manifolds

Hongbin Sun, Zhongzi Wang

We prove that if a prime 3-manifold M is not finitely covered by the 3-sphere or a product manifold, then M is virtually chiral, i.e. it has a finite cover that does not admit an o…