Year: 2025
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Demir, Ali Sait
Institution: Istanbul Technical University
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4415277301
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