Py-Calabi quasi-morphisms and quasi-states on orientable surfaces of higher genus

TL;DR

This paper demonstrates that Py-Calabi quasi-morphisms on Hamiltonian diffeomorphism groups of higher genus surfaces induce quasi-states, linking algebraic structures to geometric properties.

Contribution

It establishes a new connection between Py-Calabi quasi-morphisms and quasi-states on higher genus surfaces, expanding understanding of symplectic topology.

Findings

Py-Calabi quasi-morphisms induce quasi-states on higher genus surfaces

The work extends known results from genus zero to higher genus cases

Provides new tools for studying Hamiltonian diffeomorphisms on complex surfaces

Abstract

We show that Py-Calabi quasi-morphism on the group of Hamiltonian diffeomorphisms of surfaces of higher genus gives rise to a quasi-state.