English

Homological Lagrangian monodromy and Wang exact sequence

Symplectic Geometry 2025-02-18 v3 Differential Geometry

Abstract

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.

Keywords

Cite

@article{arxiv.2410.20677,
  title  = {Homological Lagrangian monodromy and Wang exact sequence},
  author = {Yoshihiro Sugimoto},
  journal= {arXiv preprint arXiv:2410.20677},
  year   = {2025}
}
R2 v1 2026-06-28T19:37:31.158Z