2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/223562An explicit (-1)^n-quadratic form over Z[Z^{2n}] representing the surgery problem E_8 x T^{2n} is obtained, for use in the Bryant-Ferry-Mio-Weinberger construction of 2n-dimensional exotic homology manifolds.This is the version published by Geometry & Topology Monographs on 22 April 2006Geometric TopologyAlgebraic Topology57P99, 10C05The quadratic form E_8 and exotic homology manifoldstext