On quasimorphisms and distortion in homeomorphism groups

Michael Brandenbursky, Jarek Kedra, Michal Marcinkowski +1

Let $M$ be a smooth compact oriented connected manifold, and ${\mathrm{Homeo}}_0(M,\mu )$ the group of homeomorphisms of $M$ supported away from $\partial M,$ which preserve a Borel probab…