2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/225834Evaluating the twisted Morita-Mumford classes bar(h)_p on the Artin braid group B_n, we give the stable algebraic independence of the bar(h)_p's on the automorphism group of the free group, Aut(F_n). This is sharper than the results we obtained by restricting them to the mapping class group.This is the version published by Geometry & Topology Monographs on 25 February 2008Geometric TopologyAlgebraic Geometry20F36, 14H15, 20F28, 20J06, 32G15, 57M50, 57R20text