Equivalence of the pearly tree immersed Lagrangian Floer theory and the Hamiltonian immersed Lagrangian Floer theory

2025/01/08 by Zuyi Zhang, Zhang, Zuyi
Engineering · Materials Science · Mathematics · #Differential Geometry (math.DG) #Enhanced Oil Recovery Techniques #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Pickering emulsions and particle stabilization #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.2501.04672

openalex publication_date 2025/01/08 · openalex created_date 2025/01/10 · openalex updated_date 2026/07/28

Abstract

The goal of this paper is to prove an equivalence relation between the immersed Lagrangian Floer theory, defined using pearly tree discs, and local Hamiltonian flows, i.e., Hamiltonian flows performed in the Weinstein tubular neighborhood. This is a generalization of Alston-Bao's work.

Related

• Immersed Lagrangian Floer cohomology via pearly trajectories
• Exact, graded, immersed Lagrangians and Floer theory
• Lagrangian Floer theory, from geometry to algebra and back again
• An approach to Hamiltonian Floer theory for maps from surfaces
• Floer theory for Hamiltonian PDE using model theory