2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58339A condition for the existence of false gauge field copies in terms of the Lefschetz number of a certain differential operator is presented.LaTeX, 4 pages, no figuresMathematical PhysicsDifferential GeometryThe Atiyah-Singer fixed point theorem and the gauge field copy problemtext