Homogeneous quasimorphisms, $C^0$-topology and Lagrangian intersection
Homogeneous quasimorphisms, $C^0$-topology and Lagrangian intersection
We construct an example of a non-trivial homogeneous quasimorphism on the group of Hamiltonian diffeomorphisms of the two and four dimensional quadric hypersurfaces which is continuous with respect to both the C^0 -metric and the Hofer metric. This answers a variant of a question of Entov–Polterovich–Py which is one of …