2024/09/29 by Zuyi Zhang, Zhang, Zuyi
Computer Science · Engineering · Mathematics · #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric Topology (math.GT) #Mathematics and Applications #Symplectic Geometry (math.SG)
paper · pdf · doi:10.48550/arxiv.2409.19744
openalex publication_date 2024/09/29 · openalex created_date 2024/10/28 · openalex updated_date 2026/07/28
In this article, we modify the proof of holomorphic quilts from Wehrheim and Woodward in \citewehrheim2009floer to construct a specific type of immersed holomorphic quilt, where the symplectic manifolds are closed surfaces. The application is to compare Lagrangian Floer theory with quilted Lagrangian Floer theory, as they relate through Lagrangian correspondence. A potential example is provided to support Bottman and Wehrheim's conjecture \citebottman2018gromov regarding the isomorphism between Lagrangian Floer homology and quilted Lagrangian Floer homology after twisting by bounding cochains.