Shicheng Wang

activity

20242026

collaborators

4 papers

math.GT2026

Flexible exponent of geometric 3-manifolds and Legendrian maps of Seifert spaces

Jianru Duan, Jianfeng Lin, Shicheng Wang +2

A classical question in quantitative topology is to bound the mapping degree $deg (f)$ in terms of its Lipchitz constant $Lip (f)$ . For a closed, orient…

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 $n$ -manifold $M_{i}$ with $i = 1, 2$ and assume that $M_{2}$ is aspherical. We prove the following geometric realization resu…

math.GT2024

Embedding periodic maps of surfaces into those of spheres with minimal dimensions

Chao Wang, Shicheng Wang, Zhongzi Wang

It is known that any periodic map of order $n$ on a closed oriented surface of genus $g$ can be equivariantly embedded into $S^{m}$ for some $m$ . In the orientable and smooth categor…

math.GT2024

Achirality of Sol 3-Manifolds, Stevenhagen Conjecture and Shimizu's L-series

Ye Tian, Shicheng Wang, Zhongzi Wang

A closed orientable manifold is {\em achiral} if it admits an orientation reversing homeomorphism. A commensurable class of closed manifolds is achiral if it contains an achiral el…