Zhongzi Wang

collaborators

5 papers

math.GT2026

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

Equivariant embeddings of Riemann surfaces in Euclidean spaces with minimal dimensions

Chao Wang, Zhongzi Wang

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

math.GT2025

Thurston spine in a TeichmÃ¼ller curve

Yue Gao, Zhongzi Wang

To study the Thurston spine $P_{g} \subseteq T_{g}$ , we construct a TeichmÃ¼ller curve $V \subseteq T_{g}$ . Then we characterize $V \cap P_{g}$ . Mor…

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

$I ¨ _{1}$ -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 $M$ $I ¨ _{1}$ -injectively bounds an oriented $(n + 1)$ -manifold $W$ . We prove that $Ï_1…

Asymptotics of shortest filling closed multi-geodesics

Equivariant embeddings of Riemann surfaces in Euclidean spaces with minimal dimensions

Thurston spine in a TeichmÃ¼ller curve

Shortest filling geodesics on hyperbolic surfaces

I¨1​-injective bounding and application to 3- and 4-manifolds

$I ¨ _{1}$ -injective bounding and application to 3- and 4-manifolds