4 papers
The Smoothability of Embedded Surfaces in 4-Manifolds Under Stabilizations
Zuyi Zhang
We study the smooth stabilization number of a locally flat embedded surface in a smooth -manifold, defined as the minimum number of connected sums with needed to…
The existence criterion of holomorphic discs for higher operations via minimal discs
Qiang Tan, Zuyi Zhang
The main theorem of the paper provides an existence criterion of holomorphic discs for higher operations. The key step is to show that if a minimal disc in a Kähler mani…
Uniqueness of holomorphic quilts lifted from holomorphic bigons on surfaces
Zuyi Zhang
In the author's previous paper, the author constructed holomorphic quilts from the bigons of the Lagrangian Floer chain group after performing Lagrangian composition. This paper pr…
Construction of holomorphic quilts in Cartesian product of closed surfaces
Zuyi Zhang
In this article, we modify the proof of holomorphic quilts from Wehrheim and Woodward in \cite{wehrheim2009floer} to construct a specific type of immersed holomorphic quilt, where…