2024/10/28 by Yoshihiro Sugimoto, Sugimoto, Yoshihiro
Mathematics · #53D05 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG)
paper · pdf · doi:10.48550/arxiv.2410.20677
openalex publication_date 2024/10/28 · openalex created_date 2024/11/15 · openalex updated_date 2026/07/28
In this paper, we study homological monodromy of a Lagrangian submanifold. We prove that homological Lagrangian monodromy is trivial if Hofer energy of a Hamiltonian isotopy is smaller than the minimum energy of J-holomorphic spheres and discs.