2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79649We prove several vanishing theorems for a class of generalized elliptic genera on foliated manifolds, by using classical equivariant index theory. The main techniques are the use of the Jacobi theta-functions and the construction of a new class of elliptic operators associated to foliations.16 pagesDifferential GeometryAlgebraic Topology14D05, 57R91text