2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59796We construct a Thom class in complex equivariant elliptic cohomology extending the equivariant Witten genus. This gives a new proof of the rigidity of the Witten genus, which exhibits a close relationship to recent work on non-equivariant orientations of elliptic spectra.22 pages. Added section on example of virtual bundles over a pointAlgebraic Topology57R91text