Zhengyi Zhou

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20242026

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3 papers · 1 filter

math.SG2025

Unknottedness of symplectic submanifold fillings

Zhengyi Zhou

We show that any symplectic filling of the standard contact submanifold $(S^{2 n - 1}, ξ_{std})$ of $(S^{2 n + 1}, ξ_{std})$ in $(\mathbb{D}^{n+1},ω_{\m…

math.SG2024

Bourgeois' contact manifolds are tight

Russell Avdek, Zhengyi Zhou

We prove that Bourgeois' contact structures on $M \times T^{2}$ determined by the supporting open books of a contact manifold $(M, ξ)$ are always tight. The proof is based…

math.SG2024

Algebraically overtwisted tight $3$ -manifolds from $+ 1$ surgeries

Youlin Li, Zhengyi Zhou

We execute Avdek's algorithm to find many algebraically overtwisted and tight $3$ -manifolds by contact $+ 1$ surgeries. In particular, we show that a contact $1/ k$ surgery on the st…

Unknottedness of symplectic submanifold fillings

Bourgeois' contact manifolds are tight

Algebraically overtwisted tight 3-manifolds from +1 surgeries

Algebraically overtwisted tight $3$ -manifolds from $+ 1$ surgeries