2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/221959We present a simplification of Neumann's formula for the universal Cheeger-Chern-Simons class of the second Chern polynomial. Our approach is completely algebraic, and the final formula can be applied directly on a homology class in the bar complex.This is the version published by Geometry & Topology on 26 September 2006Geometric TopologyAlgebraic Topology57M27, 57T30text