Quasimorphisms on free racks and free quandles (2404.14752v1)

Abstract: We show that the second bounded cohomology of finitely generated free racks is infinite dimensional by constructing rack quasimorphisms using homogenous group quasimorphisms. Similar construction works in the case of free quandles. We show that Rolli's generalization to free products also works in the case of racks.