2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99551We obtain general formulae expressing Hirzebruch genera of a manifold with Z/p-action in terms of invariants of this action (the sets of weights of fixed points). As an illustration, we consider numerous particular cases of well-known genera, in particular, the elliptic genus. We also describe the connection with the so-called Conner-Floyd equations for the weights of fixed points.33 pages, AMSTeX, dvi/pdf output problem correctedAlgebraic TopologyDifferential Geometry57R20; 57S25 (Primary) 58G10 (Secondary)text