Bounded cohomology of measure-preserving homeomorphism groups of non-orientable surfaces

Michael Brandenbursky, Lior Menashe

Let $N_g$ be a closed non-orientable surface of genus $g\ge 3$, and let ${\mathrm{Homeo}}_0(N_g,\mu )$ be the identity component of its group of measure-preserving homeomorphisms.…