Shicheng Wang

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4 papers · 1 filter

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 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.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…