Hofer's $L^{\infty }$-geometry: energy and stability of Hamiltonian flows, part I

François Lalonde, Dusa McDuff

Consider the group $\Ham^c(M)$ of compactly supported Hamiltonian symplectomorphisms of the symplectic manifold $(M,\om)$ with the Hofer $L^{\infty }$-norm. A path in $\Ham^c(M)$ wi…