Hofer continuous quasi-morphisms on Liouville manifolds
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.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Geometric and Algebraic Topology
Advanced Operator Algebra Research
Publication details
- Journal / source
- Proceedings of the American Mathematical Society
- Publication date
- 8 July 2026
- Language
- EN