2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67708We establish an S^1-equivariant index theorem for Dirac operators on Z/k-manifolds. As an application, we generalize the Atiyah-Hirzebruch vanishing theorem for S^1-actions on closed spin manifolds to the case of Z/k-manifolds.6 pages. Minor changes for the published versionDifferential GeometryAlgebraic Topology57R, 58GCircle actions and Z/k-manifoldstext