Towards the C0 flux conjecture
Abstract
In this note, we generalise a result of Lalonde, McDuff and Polterovich concerning the C0 flux conjecture, thus confirming the conjecture in new cases of a symplectic manifold. Also, we prove the continuity of the flux homomorphism on the space of smooth symplectic isotopies endowed with the C0 topology, which implies the C0 rigidity of Hamiltonian paths, conjectured by Seyfaddini.
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