Hofer-continuous quasi-morphisms on Liouville manifolds
Frol Zapolsky
Published: 2025/9/27
Abstract
We show that, given a complete Liouville manifold, any homogeneous quasi-morphism on its Hamiltonian group, which satisfies a strengthened version of Hofer continuity called stability, must vanish. This partially addresses a conjecture due to L. Polterovich.