2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/222402In this work we construct Calabi quasi-morphisms on the universal cover of the group Ham(M) of Hamiltonian diffeomorphisms for some non-monotone symplectic manifolds. This complements a result by Entov and Polterovich which applies in the monotone case. Moreover, in contrast to their work, we show that these quasi-morphisms descend to non-trivial homomorphisms on the fundamental group of Ham(M).This is the version published by Algebraic & Geometric Topology on 12 March 2006Symplectic GeometryDifferential Geometry53D05, 53D12, 53D45, 20F69text