Harmonic symplectic spinors on Riemann surfaces.
Hofer’s metrics and boundary depth
We show that if is a closed symplectic manifold which admits a nontrivial Hamiltonian vector field all of whose contractible closed orbits are constant, then Hofer’s metric on the group of Hamiltonian diffeomorphisms of has infinite diameter, and indeed admits infinite-dimensional quasi-isometrically embedded normed vector spaces. A similar conclusion applies to Hofer’s metric on various spaces of Lagrangian submanifolds, including those Hamiltonian-isotopic to the diagonal in when satisfies...
Hofer-Zehnder capacity and length minimizing Hamiltonian paths.
Homotopy properties of Hamiltonian group actions.
Homotopy theory and circle actions on symplectic manifolds