On relative Hamiltonian diffeomorphisms
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912649740025856 |
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| author | Demir, Ali Sait |
| author_facet | Demir, Ali Sait |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_13663 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On relative Hamiltonian diffeomorphisms Demir, Ali Sait Symplectic Geometry 53D05 (Primary) 53D12, 53D35, 57S05 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. |
| title | On relative Hamiltonian diffeomorphisms |
| topic | Symplectic Geometry 53D05 (Primary) 53D12, 53D35, 57S05 |
| url | https://arxiv.org/abs/2510.13663 |