English

On relative Hamiltonian diffeomorphisms

Symplectic Geometry 2025-10-16 v1

Abstract

Let Ham(M,L)\text{Ham(M,L)} denote the group of Hamiltonian diffeomorphisms on a symplectic manifold MM, leaving a Lagrangian submanifold LML\subset M invariant. In this paper, we show that Ham(M,L)\text{Ham(M,L)} has the fragmentation property, using relative versions of the techniques developed by Thurston and Banyaga.

Keywords

Cite

@article{arxiv.2510.13663,
  title  = {On relative Hamiltonian diffeomorphisms},
  author = {Ali Sait Demir},
  journal= {arXiv preprint arXiv:2510.13663},
  year   = {2025}
}
R2 v1 2026-07-01T06:39:10.802Z