2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/52872In this article, written primarily for physicists and geometers, we survey several manifestations of a general localization principle for orbifold theories such as $K$-theory, index theory, motivic integration and elliptic genera.High Energy Physics - TheoryMathematical PhysicsAlgebraic Geometrytext