2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68703We study the moduli space of instantons on a simply connected positive definite four manifold by analyzing the classifying map of the index bundle of a family of Dirac operators parametrized by the moduli space. As applications we compute the cohomology ring for the charge 2 moduli space in the rank stable limit.15 pagesAlgebraic TopologyDirac operator coupled to instantons on positive definite 4 manifoldstext