Zhongzi Wang

most citedThe minimal dimension of a sphere with an equivariant embedding of the bouquet of

g

circles is

2 g - 1

2 citations · 2 across the 7 of their papers we have counts for

collaborators

8 papers

math.GT2025

Equivariant embeddings of Riemann surfaces in Euclidean spaces with minimal dimensions

Chao Wang, Zhongzi Wang

Let $Σ_{g}$ be a closed Riemann surface of genus $g$ . Let $G$ be a finite subgroup of the automorphism group of $Σ_{g}$ . It is well known that there exists a smooth $G$ -equivariant emb…

math.GT2025

Thurston spine in a Teichmüller curve

Yue Gao, Zhongzi Wang

To study the Thurston spine $P_{g} \subseteq T_{g}$ , we construct a Teichmüller curve $V \subseteq T_{g}$ . Then we characterize $V \cap P_{g}$ . More…

math.GT2025

Asymptotics of shortest filling closed multi-geodesics

Yue Gao, Zhongzi Wang, Yunhui Wu

In this paper, we investigate the asymptotics of shortest filling closed multi-geodesics of closed hyperbolic surfaces as systole $\to 0$ or as genus $\to \infty$ . We first show th…

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

$π_{1}$ -injective bounding and application to 3- and 4-manifolds

Jianfeng Lin, Zhongzi Wang

Suppose a closed oriented $n$ -manifold $M$ bounds an oriented $(n + 1)$ -manifold. It is known that $M$ $π_{1}$ -injectively bounds an oriented $(n + 1)$ -manifold $W$ . We prove that $π_1(W…

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…

Equivariant embeddings of Riemann surfaces in Euclidean spaces with minimal dimensions

Thurston spine in a Teichmüller curve

Asymptotics of shortest filling closed multi-geodesics

Shortest filling geodesics on hyperbolic surfaces

π1​-injective bounding and application to 3- and 4-manifolds

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

$π_{1}$ -injective bounding and application to 3- and 4-manifolds