Construction of quasi-morphisms on groups of measure-preserving homeomorphisms of non-orientable surfaces
A quasi-morphism on a group G is a real-valued function which satisfies the homomorphism equation up to a bounded error. Let Ng be a non-orientable surface of genus g≥ 3 and let Homeo0(Ng,μ) be the identity component of the group of measure-preserving homeomorphisms of Ng.
We prove that the space of homogeneous quasi-morphisms on the group Homeo0(Ng,μ) is infinite-dimensional. This project is part of an M.Sc. thesis under the supervision of Dr. Brandenbursky.
תאריך עדכון אחרון : 05/11/2020