Zhengyi Zhou

activity

20242026

collaborators

4 papers

math.SG2026

The Arnol'd chord conjecture for $S T^{*} T^{3}$

Kainan Guo, Zhengyi Zhou

We prove the Arnol'd chord conjecture for $S T^{*} T^{3}, S T^{*} (S^{1} \times S^{2}), S T^{*} S^{3}$ as well as arbitrary connected sums among them.

math.SG2026

Algebraic planar torsion in contact manifolds

Zhengyi Zhou

We demonstrate that the functorial properties of the symplectic field theory under strong cobordisms and surgery cobordisms can produce finite algebraic (planar) torsions from simp…

math.AG2025

Minimal log discrepancy and orbifold curves

Chi Li, Zhengyi Zhou

We show that the minimal log discrepancy of any isolated Fano cone singularity is at most the dimension of the variety. This is based on its relation with dimensions of moduli spac…

math.DG2024

Kähler compactification of $C^{n}$ and Reeb dynamics

Chi Li, Zhengyi Zhou

Let $X$ be a smooth complex manifold. Assume that $Y \subset X$ is a Kähler submanifold such that $X ∖ Y$ is biholomorphic to $C^{n}$ . We prove that $(X, Y)$ is biholo…

The Arnol'd chord conjecture for ST∗T3

Algebraic planar torsion in contact manifolds

Minimal log discrepancy and orbifold curves

Kähler compactification of Cn and Reeb dynamics

The Arnol'd chord conjecture for $S T^{*} T^{3}$

Kähler compactification of $C^{n}$ and Reeb dynamics