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arXiv · 2510.13663

On relative Hamiltonian diffeomorphisms

Ali Sait Demir
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Abstract

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

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Ali Sait Demir. 2025-10-15. On relative Hamiltonian diffeomorphisms. https://arxiv.org/abs/2510.13663

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