3 papers
math.SG2026
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 man…
math.SG2025
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…
math.SG2024
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…