Zhongzi Wang

collaborators

4 papers

math.GT2025

Shortest filling geodesics on hyperbolic surfaces

Yue Gao, Jiajun Wang, Zhongzi Wang

In this paper, we obtain the minimal length of a filling (multi-)geodesic on a genus $g$ hyperbolic surface in the moduli space of hyperbolic surfaces and show that it is realized…

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…

math.GT2022

Equivariant embeddings of manifolds into Euclidean spaces

Zhongzi Wang

Suppose a finite group $G$ acts on a manifold $M$ . By a theorem of Mostow, also Palais, there is a $G$ -equivariant embedding of $M$ into the $m$ -dimensional Euclidean space $\RR^{m…