HOFER–ZEHNDER CAPACITY AND HAMILTONIAN CIRCLE ACTIONS
HOFER–ZEHNDER CAPACITY AND HAMILTONIAN CIRCLE ACTIONS
We introduce the Hofer–Zehnder Γ-semicapacity [Formula: see text] of a symplectic manifold (M,ω) (or Γ-sensitive Hofer–Zehnder capacity) with respect to a subset Γ⊂π 1 (M)[Formula: see text] and prove that given a geometrically bounded symplectic manifold (M,ω) and an open subset N⊂M admitting a Hamiltonian free circle action with order …