Calabi quasi-morphisms for some non-monotone symplectic manifolds (Q2492035)

The author constructs Calabi quasi-morphisms on the universal cover \(\widetilde{\text{Ham}(M)}\) of the group of Hamiltonian diffeomorphisms for some non-monotone symplectic manifolds. This complements a result by \textit{M. Entov} and \textit{L. Polterovich} [Comment. Math. Helv. 81, No. 1, 75--99 (2006; Zbl 1096.53052)] which applies in the monotone case. Moreover, it is proved that these quasi-morphisms descend to non-trivial homomorphisms on the fundamental group of \(\text{Ham}(M)\).